Question

Simplificar las siguientes expresiones
A. (2m+3)(4m²-6m+9)
B.(8a-7m+6)(-3a+8)

Answer 1

a)

$\left(2m+3\right)\left(4m^2-6m+9\right)\\\\\\2m\cdot \:4m^2+2m\left(-6m\right)+2m\cdot \:9+3\cdot \:4m^2+3\left(-6m\right)+3\cdot \:9\\\\\\2\cdot \:4m^2m-2\cdot \:6mm+2\cdot \:9m+3\cdot \:4m^2-3\cdot \:6m+3\cdot \:9\\\\\\8m^3+27$

b)

$\left(8a-7m+6\right)\left(-3a+8\right)\\\\\\8a\left(-3a\right)+8a\cdot \:8+\left(-7m\right)\left(-3a\right)+\left(-7m\right)\cdot \:8+6\left(-3a\right)+6\cdot \:8\\\\\\-8\cdot \:3aa+8\cdot \:8a+7\cdot \:3am-7\cdot \:8m-6\cdot \:3a+6\cdot \:8\\\\\\-24a^2+21am+46a-56m+48$