第5题!急急急!
2个回答
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5(1)
解,得:
=(3ax-3ay)+(xy-y^2)
=3a(x-y)+y(x-y)
=(3a+y)*(x-y)
(2)解,得:
=8x^3+4x^2-2x-1
=(8x^3-1)+2x(2x-1)
=(2x-1)(4x^2+2x+1)+2x(2x-1)
=(2x-1) [(4x^2+2x+1)+1]
=2(2x-1) (2x^2+x+1)
(3)解,得:
=(5x^2-15x)+(2xy-6y)
=5x(x-3)+2y(x-3)
=(5x+2y)(x-3)
(4)解,得:
4a^2-20ab+25b^2-36
=(2a-5b)²-6²
=(2a-5b-6)(2a-5b+6)
(5)4xy+1-4x^2-y^2
解,得:
4xy+1-4x^2-y^2
=1-(4x^2-4xy+y^2)
=1-(2x-y)^2
=(1+2x-y)(1-2x+y)
(6)解,得:
a^4b+a^3b^2-a^2b^3-ab^4
= a^3 * b(a + b) - a * b^3(a + b)
= (a + b)(a^3 * b - a * b^3)
= ab(a + b)(a^2 - b^2)
= ab(a + b)(a + b)(a - b)
= ab(a - b)(a + b)^2
(7)x^6-y^6-2x^3+1
解,得:
=(x^6-2x^3+1)-y^6
=(x^3-1)^2-(y^3)^2
=(x^3+y^3-1)(x^3-y^3-1)
(8)x^2(x+1)-y(xy+x)
解,得:
=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)
解,得:
=(3ax-3ay)+(xy-y^2)
=3a(x-y)+y(x-y)
=(3a+y)*(x-y)
(2)解,得:
=8x^3+4x^2-2x-1
=(8x^3-1)+2x(2x-1)
=(2x-1)(4x^2+2x+1)+2x(2x-1)
=(2x-1) [(4x^2+2x+1)+1]
=2(2x-1) (2x^2+x+1)
(3)解,得:
=(5x^2-15x)+(2xy-6y)
=5x(x-3)+2y(x-3)
=(5x+2y)(x-3)
(4)解,得:
4a^2-20ab+25b^2-36
=(2a-5b)²-6²
=(2a-5b-6)(2a-5b+6)
(5)4xy+1-4x^2-y^2
解,得:
4xy+1-4x^2-y^2
=1-(4x^2-4xy+y^2)
=1-(2x-y)^2
=(1+2x-y)(1-2x+y)
(6)解,得:
a^4b+a^3b^2-a^2b^3-ab^4
= a^3 * b(a + b) - a * b^3(a + b)
= (a + b)(a^3 * b - a * b^3)
= ab(a + b)(a^2 - b^2)
= ab(a + b)(a + b)(a - b)
= ab(a - b)(a + b)^2
(7)x^6-y^6-2x^3+1
解,得:
=(x^6-2x^3+1)-y^6
=(x^3-1)^2-(y^3)^2
=(x^3+y^3-1)(x^3-y^3-1)
(8)x^2(x+1)-y(xy+x)
解,得:
=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)
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