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Exercise

$\left(5y^2-y-2\right)-\left(y^2+2y+4\right)$

Step-by-step Solution

1

Simplify the product $-(y^2+2y+4)$

$5y^2-y-2-y^2-\left(2y+4\right)$
2

Simplify the product $-(2y+4)$

$5y^2-y-2-y^2-2y-4$
3

Subtract the values $-2$ and $-4$

$5y^2-y-6-y^2-2y$
4

Combining like terms $5y^2$ and $-y^2$

$4y^2-y-6-2y$
5

Combining like terms $-y$ and $-2y$

$4y^2-3y-6$

Final answer to the exercise

$4y^2-3y-6$

Try other ways to solve this exercise

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

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

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

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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