Open math problem

I've created practice problems in the area of equation expansion for high school math, and I hope to publish practice problems as high school students entering in spring 2017 progress.

Expansion of equation 1

Expansion of equation 2

Expansion of equation 3

problem data

The two problem sets above are converted from the following texts: Writing formulas in Latex format makes it easy to use beautiful, easy-to-read formulas.

Expansion of equation 1

<br /> #title:展開の基本公式<br /> #messages_intro:式を展開して下さい。基本的な問題ですので素早くとけるようにしましょう。<br /> #mode:normal<br /> #question_count:10</p> <p>//(x+a)^2 and (x-a)^2 forms<br /> [#(x+1)^2#] [#x^2+2x+1#] [#x^2+x+1#] [#x^2+1#] [#(x+2)^2#] [#x^2+4x+4#] [#x^2+2x+4#] [#x^2+4#] [#(x-3)^2#] [#x^2-6x+9#] [#x^2+6x+9#] [#x^2+9x+9#] [#(x-1)^2#] [#x^2-2x+1#] [#x^2-x-1#] [#x^2+2x+1#] [#(x-6)^2#] [#x^2-12x+36#] [#x^2-6x+36#] [#x^2+6x+6#] <p>//(ax+b)^2 and (ax-b)^2 forms<br /> [#(2x+1)^2#] [#4x^2+4x+1#] [#4x^2+2x+1#] [#4x^2+1#] [#(3x+2)^2#] [#9x^2+12x+4#] [#9x^2+6x+4#] [#9x^2+4#] [#(5x-3)^2#] [#25x^2-30x+9#] [#25x^2+30x+9#] [#25x^2+15x+9#] [#(3x-1)^2#] [#9x^2-6x+1#] [#9x^2-3x-1#] [#9x^2+1#] [#(7x-6)^2#] [#49x^2-84x+36#] [#49x^2-42x+36#] [#49x^2+42x+36#] <p>//(x+a)(x-a) form<br /> [#(x-1)(x+1)#] [#x^2-1#] [#x^2+2x+1#] [#x^2-2x+1#] [#(x-2)(x+2)#] [#x^2-4#] [#x^2+4x+4#] [#x^2-4x+4#] [#(x-12)(x+12)#] [#x^2-144#] [#x^2+24x+144#] [#x^2-24x+144#] <p>//(ax+b)(ax-b) form<br /> [#(4x-1)(4x+1)#] [#16x^2-1#] [#16x^2+8x+1#] [#16x^2-8x+1#] [#(5x-3)(5x+3)#] [#25x^2-9#] [#25x^2+30x+9#] [#25x^2-15x+9#] <p>//(ax+b)(cx+d) form<br /> [#(2x+3)(4x+5)#] [#8x^2+22x+15#] [#8x^2+26x+15#] [#8x^2+20x+15#] [#(2x+3)(x-7)#] [#2x^2-11x-21#] [#2x^2+11x-21#] [#2x^2+20x+21#] [#(5x+1)(5x-2)#] [#25x^2-5x-2#] [#25x^2+5x-2#] [#25x^2+5x+2#] <p>//ax(bx+c) form<br /> [#2x(5x-2)#] [#10x^2-4x#] [#10x^2-2x#] [#10x^2-4#] [#x(x-2)#] [#x^2-2x#] [#x^2-2#] [#x^2+2x#]

Expansion of equation 2

<br /> #title:展開の基本公式<br /> #messages_intro:式を展開して下さい。三次式の展開です。<br /> #mode:normal<br /> #question_count:10</p> <p>//(x+a)^3 and (x-a)^3 forms<br /> [#(x+1)^3#] [#x^3+3x^2+3x+1#] [#x^3+x^2+x+1#] [#x^3+1#] [#(x+2)^3#] [#x^3+6x^2+12x+8#] [#x^3+2x^2+4x+8#] [#x^3+8#] [#(x-5)^3#] [#x^3-15x^2+75x-125#] [#x^3+15x^2-75x-125#] [#x^3-5x^2+25x-125#] [#(x-a)^3#] [#x^3-3ax^2+3a^2x-a^3#] [#x^3+3ax^2+3a^2x+a^3#] [#x^3-3x^2+3x-1#] [#(x-1)^3#] [#x^3-3x^2+3x-1#] [#x^3+3x^2+3x+1#] [#x^3-1#] <p>//(ax+b)^3 and (ax-b)^3 forms<br /> [#(2x+1)^3#] [#8x^3+12x^2+6x+1#] [#8x^2+4x^2+2x+1#] [#8x^3+1#] [#(2x-3)^3#] [#8x^3-36x^2+54x-27#] [#8x^2-12x^2+18x-27#] [#8x^3-1#] [#(4x-1)^3#] [#64x^3-48x^2+12x-1#] [#64x^2-16x^2+4x-1#] [#64x^3-1#] [#(ax-b)^3#] [#a^3x^3-3a^2bx^2+3ab^2x-b^3#] [#a^3x^3-a^2bx^2+ab^2x-b^3#] [#a^3x^3-b^3#] [#(ax+b)^3#] [#a^3x^3+3a^2bx^2+3ab^2x+b^3#] [#a^3x^3+a^2bx^2+ab^2x+b^3#] [#a^3x^3+b^3#] <p>//(x^2+x+1)(x-a) and (x^2-x+1)(x+1) forms<br /> [#(x+1)(x^2-x+1)#] [#x^3+1#] [#x^3-1#] [#x^3+x^2+x+1#] [#(x-1)(x^2+x+1)#] [#x^3-1#] [#x^3+1#] [#x^3-x^2+x-1#] [#(x+3)(x^2-3x+9)#] [#x^3+27#] [#x^3-27#] [#x^3+3x^2+9x+27#] [#(x+3)(x^2+3x+9)#] [#x^3+6x^2+18x+27#] [#x^3+27#] [#x^3-27#] <p>//(x+a)(x+b)(x+c) form<br /> [#(x+1)(x+2)(x+3)#] [#x^3+6x^2+11x+6#] [#x^3+6x^2+12x+6#] [#x^3+6x^2+9x+6#] [#(x+1)(x+2)(x-3)#] [#x^3-7x-6#] [#x^3+7x-6#] [#x^3+5x-6#] <p>//(a+b+c)(a2+b2+c2 - ab - bc - ca)<br /> [#(a+b+c)(a^2+b^2+c^2-ab-bc-ca)#] [#a^3+b^3+c^3-3abc#] [#a^3+b^3+c^3-abc#] [#a^3+b^3+c^3+3abc#] [#a^3+b^3+c^3+abc#] [#(a+b+2c)(a^2+b^2+4c^2-ab-2bc-2ca)#] [#a^3+b^3+8c^3-6abc#] [#a^3+b^3+2c^3-6abc#] [#a^3+b^3+8c^3+6abc#] [#a^3+b^3+2c^3+6abc#] [#(a+b-c)(a^2+b^2+c^2-ab+bc+ca)#] [#a^3+b^3-c^3+3abc#] [#a^3+b^3-c^3-3abc#] [#a^3+b^3+c^3+3abc#] [#a^3+b^3+c^3-3abc#]

Expansion of equation 3

<br /> #title:展開の応用<br /> #messages_intro:式を展開して下さい。<br /> #mode:normal<br /> #question_count:10</p> [#(x-1)(x+1)(x^2+1)#] [#x^4-1#] [#x^4+1#] [#x^4+x^2+1#] [#x^4-x^2+1#] [#(x-2)(x+2)(x^2+4)#] [#x^4-16#] [#x^4+16#] [#x^4+4x^2+16#] [#x^4-4x^2+16#] [#(a+b+c)^2#] [#a^2+b^2+c^2+2ab+2bc+2ca#] [#a^2+b^2+c^2+ab+bc+ca#] [#a^2+b^2+c^2+4ab+4bc+4ca#] [#(a+b+c+d)^2#] [#a^2+b^2+c^2+d^2+2ab+2ac+2ad+2bc+2bd+2cd#] [#a^2+b^2+c^2+d^2+ab+ac+ad+bc+bd+cd#] [#a^2+b^2+c^2+d^2+2ab+2ac+2ad+2bc#] [#(a+b)^4#] [#a^4+4a^3b+6a^2b^2+4ab^3+b^4#] [#a^4+3a^3b+5a^2b^2+3ab^3+b^4#] [#a^4+4a^3b+8a^2b^2+4ab^3+b^4#] [#(x-2y+3z)^2#] [#x^2+4y^2+9z^2-4xy-12yz+6zx#] [#x^2+2y^2+3z^2-2xy-6yz+3zx#] [#x^2+4y^2+9z^2-2xy-6yz+3zx#] [#(x+y+1)(x+y-1)#] [#x^2+2xy+y^2-1#] [#x^2+2xy+y^2-x-y+1#] [#x^2-2xy+y^2-x-y+1#] [#(x+1)(x^4-x^3+x^2+x-1)#] [#x^5-1#] [#x^5+1#] [#x^5+x^4+x^3+x^2+x+1#] [#x^5-x^4+x^3-x^2+x-1#] [#(x+1)(x-1)(x+2)(x-2)#] [#x^4-5x^2+4#] [#x^4+5x^2+4#] [#x^4+3x^3+5x^2+3x+4#] [#(x-2)(x-1)(x+1)(x+2)#] [#x^4-5x^2+4#] [#x^4+5x^2+4#] [#x^4+3x^3+5x^2+3x+4#] [#(x-1)^3(x+1)^3#] [#x^6-3x^4+3x^2-1#] [#x^6+3x^4+3x^2+1#] [#x^6+2x^5+3x^4+4x^3+3x^2+2x+1#] [#x^6-2x^5+3x^4-4x^3+3x^2-2x+1#] [#(x-1)(x+1)(x^2+x+1)(x^2-x+1)#] [#x^6-1#] [#x^6+1#] [#x^6+2x^3+1#] [#x^6-2x^3+1#] [#(x^2+2x+3)(x^2+1)#] [#x^4+2x^3+4x^2+2x+3#] [#x^4+3x^3+5x^2+2x+3#] [#x^4+2x^3+3x^2+3x+3#] [#(x^{100}+100)(x^{100}-100)#] [#x^{200}-10000#] [#x^{10000}-10000#] [#x^{200}-200#] [#x^{10000}-200#] [#(x^3+x^2+x+1)^2#] [#x^6+2x^5+3x^4+4x^3+3x^2+2x+1#] [#x^6+x^5+x^4+x^3+x^2+x+1#] [#x^6+4x^5+6x^4+10x^3+6x^2+4x+1#] [#x^6+1#]

Tips for creating math problems

When you make a math question, you need mathematical expressions in the question text and choices, and QuizGenerator can display good looking mathematical expressions by writing mathematical expressions in Latex format between [# and #].

Please use the following URL, which is a tool to help you input mathematical expressions.
Formula Editor for QuizGenerator