Question

If you can answer any of these please do and put the question number by the answer

Answer 1

48: D (
`10u^3+4u^2-2u+10`)

`\left(4u^3+4u^2+2\right)+\left(6u^3-2u+8\right)`

Remove brackets:

`4u^3+4u^2+2+6u^3-2u+8`

Group the similar terms together:

`4u^3+6u^3+4u^2-2u+2+8`

Add/Subtract:

`10u^3+4u^2-2u+10`

49: A. (
`2x\left(x^2+2x+4\right)`)

`2x^3+4x^2+8x`

Factor out 2x:

`2x\left(x^2+2x+4\right)`

50: C. (
`8x^2+26x+15`)

`\left(4x+3\right)\left(2x+5\right)`

Use FOIL:

`4x* \:2x+4x* \:5+3* \:2x+3* \:5`

`8x^2+20x+6x+15`

`8x^2+26x+15`

51: B. (
`8n^3+6n^2-4n-20`)

`\left(2n^2+4n+4\right)\left(4n-5\right)`

Expand:

`2n^2* \:4n+2n^2\left(-5\right)+4n* \:4n+4n\left(-5\right)+4* \:4n+4\left(-5\right)`

`8n^3-10n^2+16n^2-20n+16n-20`

`8n^3+6n^2-20n+16n-20`

`8n^3+6n^2-4n-20`

52: D.
`(d+9)(d+1)`

You can factor by grouping:

`d^2+10d+9`

`\left(d^2+d\right)+\left(9d+9\right)`

`d\left(d+1\right)+9\left(d+1\right)`

`(d+9)(d+1)`