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Exercise

$\left(f^3-5f+25\right)-\left(4f^2-12f+9\right)$

Step-by-step Solution

1

Simplify the product $-(4f^2-12f+9)$

$f^3-5f+25-4f^2-\left(-12f+9\right)$
2

Simplify the product $-(-12f+9)$

$f^3-5f+25-4f^2+12f-9$
3

Subtract the values $25$ and $-9$

$f^3-5f+16-4f^2+12f$
4

Combining like terms $-5f$ and $12f$

$f^3+7f+16-4f^2$

Final answer to the exercise

$f^3+7f+16-4f^2$

Try other ways to solve this exercise

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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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