Use the distributive property to remove the parentheses. $$ \left(9 y^{4}-6 y^{5}+7\right) 7 y^{2} $$

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$$ 63 y^{6} - 42 y^{7} + 49 y^{2} $$ To remove the parentheses using the distributive property, you need to multiply each term inside the parentheses by the term outside the parentheses. Here's how you do it: $$ \left(9 y^{4}-6 y^{5}+7\right) 7 y^{2} $$ Distribute the $$7 y^{2}$$ to each term inside the parentheses: $$ 9 y^{4} \cdot 7 y^{2} - 6 y^{5} \cdot 7 y^{2} + 7 \cdot 7 y^{2} $$ Now, multiply the coefficients and add the exponents of the like bases (using the rule $$a^m \cdot a^n = a^{m+n}$$): $$ 63 y^{4+2} - 42 y^{5+2} + 49 y^{2} $$ $$ 63 y^{6} - 42 y^{7} + 49 y^{2} $$ So, the expression without parentheses is: $$ 63 y^{6} - 42 y^{7} + 49 y^{2} $$

Use the distributive property to remove the parentheses. \[ \left(9 y^{4}-6 y^{5}+7\right) 7 y^{2} \]

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Use the distributive property to remove the parentheses. \[ \left(9 y^{4}-6 y^{5}+7\right) 7 y^{2} \]

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