将下列各式分解因式:(4x-3y)^2-16y^2 -27x^4+18x^3-3x^2.
问题描述:
将下列各式分解因式:(4x-3y)^2-16y^2 -27x^4+18x^3-3x^2.
答
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答
(4x-3y)^2-16y^2
=[(4x-3y-4y)(4x-3y+4y)]
=(4x-7y)(4x+y)
-27x^4+18x^3-3x^2.
=-3x^2(9x^2-6x+1)
=-3x^2(3x-1)^2
答
(4x-3y)^2-16y^2
=(4x-3y)^2-(4y)^2
=(4x-3y+4y)(4x-3y-4y)
=(4x+y)(4x-7y);
-27x^4+18x^3-3x^2
=-3x^2(9x^2-6x+1)
=-3x^2(3x-1)^2.