Question

Tolong dijawab beserta CARANYA :)
SOAL FAKTORKANLAH !
1. 4x(x+2)-3(x+2)
2.25x²-(x-3)²
3.8x4(4 adalah pangkat)+12x³-16x²
4.10a²b-15a³b²+20a²b²
5.p²-15p+14
6.5x²+13x+6
7.10p²-7p-12
8.(2x-1y)²-(x-2y)²
9.x³+5x²-84x
10.45+4x-x²

Answer 1

1. 4x(x+2)-3(x+2)
=4x^2+8x-3x-6
=4x^2+5x-6
=4x^2-8x+5x-6
=4x(x-2)+3(x-2)
=(4x+3)(x-2)
2.25x²-(x-3)²
=[5x+(x-3)][5x-(x-3)]
=(6x-3)(4x+3)
3.8x^4+12x³-16x²
=4x^2(2x^2+3x-4)
4.10a²b-15a³b²+20a²b²
=5a^2b(2-3ab+4b)
5.p²-15p+14
=(p-1)(p-14)
6.5x²+13x+6
=5x^2+10x+3x+6
=5x(x+2)+3(x+2)
=(5x+3)(x+2)
7.10p²-7p-12
=10p^2+8p-15p-12
=2p(5p+4)-3(5p+4)
=(2p-3)(5p+4)
8.(2x-1y)²-(x-2y)²
=[(2x+y)+(x-2y)][(2x+y)-(x-2y)]
=(2x+y+x-2y)(2x+y-x+2y)
=(3x-y)(x+3y)
9.x³+5x²-84x
=x(x^2+5x-84)
=x(x+12)(x-7)
10.45+4x-x²
=(-1)(x^2-4x-45)
=(-1)(x-9)(x+5)
=(9-x)(5+x)