Question

factorizar: (a-2b) (2a+b) - (a-2b) (5b-3)

Answer 1

Respuesta:

(a−2b)(2a+b)−(a−2b)(5b−3)

Distribute:

=(a)(2a)+(a)(b)+(−2b)(2a)+(−2b)(b)+−5ab+10b2+3a+−6b

=2a2+ab+−4ab+−2b2+−5ab+10b2+3a+−6b

Combinar términos comunes:

=2a2+ab+−4ab+−2b2+−5ab+10b2+3a+−6b

=(2a2)+(ab+−4ab+−5ab)+(−2b2+10b2)+(3a)+(−6b)

=2a2+−8ab+8b2+3a+−6b

solución:

=2a2−8ab+8b2+3a−6b