Question

求大神给分解因式,要有过程.在线等 (1)-a^4+16 后面还有

Answer 1

(1)-a^4+16

=4^2-(a^2)^2

=(4+a^2)(4-a^2)

=(4+a^2)(2-a)(2+a)

(2)(7a^2+2b^2)^2-(7b^2+2c^2)^2

=(7a^2+2b^2+7b^2+2c^2)(7a^2+2b^2-(7b^2+2c^2))

=(7a^2+9b^2+2c^2)(7a^2-5b^2-2c^2)

(3)9(2a-b)^2-6(2a-b)+1

=(3(2a-b))^2-2x3(2a-b)x1+1

=(3(2a-b)-1)^2

=(6a-3b-1)^2

(4)(x+y)^2-14x^2+14y^2+49(x-y)^2

=(x+y)^2-14(x^2-y^2)+(7(x-y))^2

=(x+y)^2-2x7(x-y)(x+y)+(7(x-y))^2

=(x+y-7(x-y))^2

=(-6x+8y)^2

(5)(a-2b)^2-3a+6b

=(a-2b)^2-3(a-2b)

=(a-2b)(a-2b-3)

(6)4x^2-(y-x)^2

=(2x)^2-(y-x)^2

=(2x+y-x)(2x-(y-x))

=(x+y)(3x-y)