Question

Buna seara va rog sa ma ajutati ....

Answer 1

a) 5x⁴-20x²=5x²(x²-4)=5x²(x+2)(x-2)
b) 3x³-48x=3x(x²-16)=3x(x+4)(x-4)
c) 4x²-36x³=4x²(1-6x)
d) 3x³+18x²+27x=3x(x²+6x+9)=3x(x+3)²
e) 50x³-20x²+2x=2x(25x²-10x+1)=2x(5x-1)
f) 7x³-28x²+28x=7x(x²-4x+4)=7x(x-2)²
g) 7x⁵-7x⁴-14x³=7x³(x²-x-2)=7x³(x+1)(x-2)
h) 5x⁴-5x³-30x²=5x²(x²-x-6)=5x²(x+2)(x-3)
i) 6x⁶-6x⁵-12x⁴=6x⁴(x²-x-2)=6x⁴(x+1)(x-2)
j) (3x+1)(48x²-3)-(23x²+1)(3x+1)=(3x+1)(48x²-3-23x²-1)=(3x+1)(25x²-4)=
=(3x+1)(5x-2)(5x+2)
k) (4x+3)(37x²-13)-(4x+3)(x²+12)=(4x+3)(37x²-13-x²-12)=
=(4x+3)(36x²-25)=(4x+3)(6x-5)(6x+5)
l) (63x²-14)(8x+5)-(11-x²)(8x+5)=(8x+5)(63x²-14-11+x²)=(8x+5)(64x²-25)=
=(8x+5)(8x-5)(8x+5)=(8x+5)²(8x-5)