Answer
A) (2x+5)(2x-5)
B)(2x-3)(x+4)
C)(x+2)(x-2)(x+3)
D) x(x+3)(x²-3x+9)
E) 3$x^{-1/2}$[(x-2)(x-1)]
F) xy[(x+2)(x-2)]
Work Step by Step
A) 4x²-25
(2x+5)(2x-5)
B)2x²+5x-12
(2x-3)(x+4)
C) x³-3x²-4x+12
(x³-3x²) -(4x+12)
x²(x-3)-4(x-3)
(x²-4)(x-3)
(x+2)(x-2)(x+3)
D) x⁴+27x
x(x³+27)
x(x+3)(x²-3x+9)
E) 3$x^{3/2}$-9$x^{1/2}$+6$x^{-1/2}$
Take the common factor
3$x^{-1/2}$[x²-3x+2]
3$x^{-1/2}$[(x-2)(x-1)]
F) x³y-4xy
xy(x²-4)
xy[(x+2)(x-2)]
