因式分解:(1)4-(a+2)(a-2)(2)(x+2)^2-(x-2)^2(3)(- 4x-3y^2)(3y^2-4x
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因式分解:
(1)4-(a+2)(a-2)
(2)(x+2)^2-(x-2)^2
(3)(- 4x-3y^2)(3y^2-4x)
(4)a(a+b)^2-2b(a-b)(a+b)
(5)ma+mb+mc
(6)1-9y^2
(1)4-(a+2)(a-2)
(2)(x+2)^2-(x-2)^2
(3)(- 4x-3y^2)(3y^2-4x)
(4)a(a+b)^2-2b(a-b)(a+b)
(5)ma+mb+mc
(6)1-9y^2
1)4-(a+2)(a-2)
=4-a²+4
=8-a²
=(2√2+a)(2√2-a)
(2)(x+2)^2-(x-2)^2
=[(x+2)+(x-2)][(x+2)-(x-2)]
=(x+2+x-2)(x+2-x+2)
=8x
(3)(- 4x-3y^2)(3y^2-4x)
=-(3y²+4x)(3y²-4x)
=-(9y^4-16x²)
=16x²-9y^4
(4)a(a+b)^2-2b(a-b)(a+b)
=(a+b)[a(a+b)-2b(a-b)]
=(a+b)[a²+ab-2ab+2b²]
=(a+b)(a²-ab+2b²]
(5)ma+mb+mc
=m(a+b+c)
(6)1-9y^2
=(1+3y)(1-3y)
=4-a²+4
=8-a²
=(2√2+a)(2√2-a)
(2)(x+2)^2-(x-2)^2
=[(x+2)+(x-2)][(x+2)-(x-2)]
=(x+2+x-2)(x+2-x+2)
=8x
(3)(- 4x-3y^2)(3y^2-4x)
=-(3y²+4x)(3y²-4x)
=-(9y^4-16x²)
=16x²-9y^4
(4)a(a+b)^2-2b(a-b)(a+b)
=(a+b)[a(a+b)-2b(a-b)]
=(a+b)[a²+ab-2ab+2b²]
=(a+b)(a²-ab+2b²]
(5)ma+mb+mc
=m(a+b+c)
(6)1-9y^2
=(1+3y)(1-3y)
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