Question

分解因式(4a-3b)^2-16(a+2b)^2 3a(a+b)^2-27ab (a+2b)^4-(a-2b)^4

Answer 1

(4a-3b)^2-16(a+2b)^2

=(4a-3b)^2-(4a+8b)^2

=(4a-3b+4a+8b)(4a-3b-4a-8b)

=-11b(8a+5b)

3a(a+b)^2-27ab

=3a[(a+b)^2-9b]

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

=[(a^2+4ab+4b^2)]^2-[a^2-4ab+4b^2]

=(2a^2+8b^2)(8ab)

=16ab(a^2+4b^2)

化简(y-x)^3(x+y)^3+(x-y)^3(y-x)^2

=(y-x)^3[(x+y)^3-(y-x)^2]