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asciMathML

444.2a] `x^3+x=x(x^2+1)`

444.2b] `xy-7y=y(x-7)`

444.2c] `a-ab=a(1-b)`

444.2d] `x+2x=x(1+2y)`

444.7a] `3a^2b-ab^2+abc=ab(3a-b+c)`

444.7b] `2a^3b-4a^2b^2+4ab^3=2ab(a^2-2ab+2b^2)`

444.7c] `-2ab^3+2a^2b-6a^2b^2=2ab(-b^2+a-3ab)=2ab(a-3ab-b^2)`

444.16a]

`5(5x+2y)^4+25(5x+2y)^3x=`

`=5(5x+2y)^3{(5x+2y)+5x)}=`

`=5(5x+2y)^3(10x+2y)=`

`=10(5x+2y)^3(5x+y)=`

444.16b]

`ax(x^2+y^2)+ax^2(x+y)=`

`=ax^3+axy^2+ax^3+ax^2y=`

`=2ax^3+axy^2+ax^2y=`

`=ax(2x^2+y^2+xy)`

`int_0^1 sinx dx`

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