Question

Simplify (12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})(12a 5 −6a−10a 3 )−(10a−2a 5 −14a 4 ) . Write the answer in standard form

Answer 1

`(12a^(5)-6a-10a^(3))-(10a-2a^(5)-14a^(4)) = 14a^(5)+14a^(4)-10a^(3)-16a`

Explanation:

Given

`(12a^(5)-6a-10a^(3))-(10a-2a^(5)-14a^(4))`

Required

Simplify

We have:

`(12a^(5)-6a-10a^(3))-(10a-2a^(5)-14a^(4))`

Open brackets

`12a^(5)-6a-10a^(3)-10a+2a^(5)+14a^(4)`

Collect like terms

`12a^(5)+2a^(5)+14a^(4)-10a^(3)-6a-10a`

`14a^(5)+14a^(4)-10a^(3)-16a`

Hence:

`(12a^(5)-6a-10a^(3))-(10a-2a^(5)-14a^(4)) = 14a^(5)+14a^(4)-10a^(3)-16a`