Question

Which expression is equivalent to 10x2 + (6x − 8x2) + 3 − (9x +4)?

Answer 1

You are missing expression..

But if you simplify you can find the answer (given below)

Answer:

`2x^2-3x-1`

Explanation:

`10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)`

`\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c`

`10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2`

`=10x^2+6x-8x^2+3-\left(9x+4\right)`

`\mathrm{Group\:like\:terms}`

`=-\left(9x+4\right)+10x^2-8x^2+6x+3`

`\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2`

`=-\left(9x+4\right)+2x^2+6x+3`

`\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b`

`-\left(9x+4\right)=-9x-4`

`=-9x-4+2x^2+6x+3`

`\mathrm{Group\:like\:terms}`

`=2x^2-9x+6x-4+3`

`\mathrm{Add\:the\:numbers:}\:-4+3=-1`

`=2x^2-9x+6x-1`

`\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x`

`=2x^2-3x-1`

Answer =
`2x^2-3x-1`

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