1.

((2x+7)^(2))/(2x)-(2x-7)^(2)

Answer» Expand Exponent

`2 * (2 x + 7) * (2 x + 7) + -(2 x + -7) ^ 2`

Distribute

`(4 x + 14) * (2 x + 7) + -(2 x + -7) ^ 2`

Distribute

`8 x ^ 2 + 28 x + 28 x + 98 + -(2 x + -7) ^ 2`

Collect And Combine Like Terms

`8 x ^ 2 + 56 x + 98 + -(2 x + -7) ^ 2`

Expand Exponent

`8 x ^ 2 + 56 x + 98 + -((2 x + -7) * (2 x + -7))`

Distribute

`8 x ^ 2 + 56 x + 98 + -(4 x ^ 2 + -14 x + -14 x + 49)`

Collect And Combine Like Terms

`8 x ^ 2 + 56 x + 98 + -(4 x ^ 2 + -28 x + 49)`

Distribute Negative One

`8 x ^ 2 + 56 x + 98 + -4 x ^ 2 + 28 x + -49`

Collect And Combine Like Terms

`4 x ^ 2 + 84 x + 49`



Discussion

No Comment Found

Related InterviewSolutions