作业帮帮我解决几道因式分解的题,
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帮我解决几道因式分解的题,
帮我解决几道因式分解的题,
帮我解决几道因式分解的题,
2.1
8x^3+4x^2-2x-1
=4x^2(2x+1)-(2x+1)
=(2x+1)(4x^2-1)
=(2x+1)(2x+1)(2x-1)
=(2x+1)^2(2x-1)
2.2
4a^2-20ab+25b^2-36
=(2a^2-5b)^2-6^2
=(2a-5b-6)(2a-5b+6)
2.3
a^4b+a^3b^2-a^2b^3-ab^4
=a^3b(a+b)-ab^3(a+b)
=(a^3b-ab^3)(a+b)
=ab(a^2-b^2)(a+b)
=ab(a-b)(a+b)(a+b)
=ab(a-b)(a+b)^2
2.4
x^2(x+1)-y(xy+x)
=x^3+x^2-xy^2-xy
=x^3-xy^2+x^2-xy
=x(x^2-y^2)+x(x-y)
=x(x-y)(x+y)+x(x-y)
=x(x-y)(x+y+1)
3.1
x^2+37x+36
=(x+1)(x+36)
3.2
x^2-6x-27
=(x-9)(x+3)
3.3
(a-b)^2+11(a-b)+28
=(a-b-4)(a-b-7)
3.4
x^2-2x-15
=(x-5)(x+3)
4.1
a^(n+2)+a^(n+1)b-6a^nb^2
=a^2*a^n+a*a^nb-6a^nb^2
=a^n(a^2+ab-6b^2)
=a^n(a+3b)(a-2b)