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Exercise

$6x^2+3x-9-\left(-2x^2+4x-1\right)$

Step-by-step Solution

1

Simplify the product $-(-2x^2+4x-1)$

$6x^2+3x-9+2x^2-\left(4x-1\right)$
2

Simplify the product $-(4x-1)$

$6x^2+3x-9+2x^2-4x+1$
3

Subtract the values $1$ and $-9$

$6x^2+3x-8+2x^2-4x$
4

Combining like terms $6x^2$ and $2x^2$

$8x^2+3x-8-4x$
5

Combining like terms $3x$ and $-4x$

$8x^2-x-8$

Final answer to the exercise

$8x^2-x-8$

Try other ways to solve this exercise

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$x+x+x+2$

$6+-7-\left(-8\right)+4-2$

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$-n+\left(-4\right)-\left(-4n\right)+6$

$5a-6b+8c+9a-20c-b+6b-c$

$5a+2b-3a+4$

$2x+7x+x-8x$

Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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