Question

simplify 2a x a x 3a + b x 4b

Answer 1

Given:

$2a\times a\times3a+b\times4b$

Required:

We need to simplify the given expression.

Explanation:

$2a\times a\times3a+b\times4b=(2\times3\times a\times a\times a)+(4\times b\times b)$$Use\text{ }4=2\times2,a\times a\times a=a^3,\text{ and }b\times b=b^2.$

$2a\times a\times3a+b\times4b=(2\times3\times a^3)+(2\times2\times b^2)$

Take out the common term 2.

$2a\times a\times3a+b\times4b=2\times(3\times a^3+2\times b^2)$

$2a\times a\times3a+b\times4b=2(3a^3+2b^2)$

Final answer:

$2a\times a\times3a+b\times4b=2(3a^3+2b^2)$