Question

SCOATEȚI FACTOR COMUN!!!
Vă rog mult, am nevoie mâine!

Answer 1

a) 3(2-5a)²-a(2-5a)+5(2-5a)=
= (2-5a)(6-15a-a+5)=
= (2-5a)(11-16a)

b) (a-b)(2a-b)+(a-b)²-3b(a-b)=
=(a-b)(2a-b+a-b-3b)=
=(a-b)(3a-5b)

c) (x+3)(x-2a)-(x-2a)(x+1)+5x(x-2a)=
=(x-2a)(x+3-x-1+5x)=
=(x-2a)(2+5x)

d) (3x-5)²-2(5-3x)+(x-5)(3x-5)=
= (3x-5)(3x+5+2+x-5)=
= (3x-5)(4x+2)=
= 2(3x-5)(2x+1)

e) (5-2a)(7a-2)+7a(2-7a)-(7a-2)²=
= (5-2a)(7a-2)-7a(7a-2)-(7a-2)²=
= (7a-2)(5-2a-7a-7a+2)=
= (7a-2)(7-16a)

f) (x-6)³+(x+1)(x-6)²-(5-3x)(x-6)²=
=(x-6)²(x-6+x+1-5+3x)=
=(x-6)²(5x-10)=
=5(x-6)²(x-2)

g) (4x-5y)(2x+y)-(3x-y)(5y-4x)+(5y-4x)²=
=(4x-5y)(2x+y+3x-y-4x-5y)=
=(4x-5y)(x-5y)

h) (2x+3y)²(x-y)+3(2x+3y)³-2(3x+4y)(3y+2x)²=
= (2x+3y)²(x-y+6x+9y-6x-8y)=
= x *(2x+3y)²