Evaluate: (2sqrt(a)+5sqrt(b))+(3sqrt(a)-2sqrt(b))

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  3. Evaluate: (2sqrt(a)+5sqrt(b))+(3sqrt(a)-2sqrt(b))

Expression: $\left( 2\sqrt{ a }+5\sqrt{ b } \right)+\left( 3\sqrt{ a }-2\sqrt{ b } \right)$

Remove unnecessary parentheses

$2\sqrt{ a }+5\sqrt{ b }+\left( 3\sqrt{ a }-2\sqrt{ b } \right)$

When there is a $+$ in front of an expression in parentheses, the expression remains the same

$2\sqrt{ a }+5\sqrt{ b }+3\sqrt{ a }-2\sqrt{ b }$

Collect like terms

$5\sqrt{ a }+5\sqrt{ b }-2\sqrt{ b }$

Collect like terms

$5\sqrt{ a }+3\sqrt{ b }$

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