# How do you write (x^2 + x + 2) + (3x^2 - 2x + 10) in standard form?

May 31, 2016

= 4*x²-x+12

#### Explanation:

= 4*x²-x+12

May 31, 2016

$\text{ } 4 {x}^{2} - x + 12$

#### Explanation:

As there is a + between the brackets so multiply the contents of the 2nd bracket by +1 giving:

$\text{ "x^2+x+2" "+" } 3 {x}^{2} - 2 x + 10$

Collecting like terms

$\text{ } \left({x}^{2} + 3 {x}^{2}\right) + \left(x - 2 x\right) + \left(2 + 10\right)$
The purpose of the above brackets is to make things clearer about what is happening. They serve no other purpose.

$\text{ } 4 {x}^{2} - x + 12$

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Note that $+ \left(x - 2 x\right)$ is the same as $+ \left(- x\right)$
where $+ \text{ and "- " give us } -$

so $+ \left(- x\right) = - x$
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