Question

Factorise the following: 8a6b4c2 + 12a2b2c2​

Answer 1

Step-by-step explanation:

First, apply the exponent rule.

So, $\:a^{b+c}=a^ba^c$

$a^6=a^2a^4,\:b^4=b^2b^2$

= $8a^2a^4b^2b^2c^2+12a^2b^2c^2$

$=2\cdot \:4b^2a^2c^2a^4b^2+3\cdot \:4b^2a^2c^2$

Then, factor out the common term

$=4b^2a^2c^2\left(2a^4b^2+3\right)$

:)