Question

Simplify 2a x a x 3a + b x 4b

Answer 1

Given:

`2a* a*3a+b*4b`

Required:

We need to simplify the given expression.

Step-by-step explanation:

`2a* a*3a+b*4b=(2*3* a* a* a)+(4* b* b)`
`Use\text{ }4=2*2,a* a* a=a^3,\text{ and }b* b=b^2.`

`2a* a*3a+b*4b=(2*3* a^3)+(2*2* b^2)`

Take out the common term 2.

`2a* a*3a+b*4b=2*(3* a^3+2* b^2)`

`2a* a*3a+b*4b=2(3a^3+2b^2)`

Final answer:

`2a* a*3a+b*4b=2(3a^3+2b^2)`