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Exercise

$-15\sqrt{m}+12\sqrt{n}-7\sqrt{n}+17\sqrt{n}-8\sqrt{m}+12\sqrt{m}$

Step-by-step Solution

1

Combining like terms $-15\sqrt{m}$ and $-8\sqrt{m}$

$-23\sqrt{m}+12\sqrt{n}-7\sqrt{n}+17\sqrt{n}+12\sqrt{m}$
2

Combining like terms $-23\sqrt{m}$ and $12\sqrt{m}$

$-11\sqrt{m}+12\sqrt{n}-7\sqrt{n}+17\sqrt{n}$
3

Combining like terms $12\sqrt{n}$ and $-7\sqrt{n}$

$-11\sqrt{m}+5\sqrt{n}+17\sqrt{n}$
4

Combining like terms $5\sqrt{n}$ and $17\sqrt{n}$

$-11\sqrt{m}+22\sqrt{n}$

Final answer to the exercise

$-11\sqrt{m}+22\sqrt{n}$

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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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