12 y(3y^(4)-7y^(2)+1)

Distribute 12y to 3y^(4): We need to distribute the term 12y across the terms inside the parentheses. 12y * 3y^(4) = 36y^(5)Distribute 12y to -7y^(2): Next, distribute 12y to the second term inside the parentheses. 12y * (-7y^(2)) = -84y^(3)Distribute 12y to 1: Finally, distribute 12y to the last term inside the parentheses. 12y * 1 = 12yCombine distributed terms: Combine all the distributed terms to get the final simplified expression. 36y^(5) - 84y^(3) + 12y

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$12 y\left(3 y^{4}-7 y^{2}+1\right)$

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Math Problems

Algebra 2

Simplify radical expressions involving fractions

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12 y\left(3 y^{4}-7 y^{2}+1\right)

Distribute $12y$ to $3y^{4}$ : We need to distribute the term $12y$ across the terms inside the parentheses. $\newline$ $12y \times 3y^{4} = 36y^{5}$
Distribute $12y$ to $-7y^{2}$ : Next, distribute $12y$ to the second term inside the parentheses. $\newline$ $12y \times (-7y^{2}) = -84y^{3}$
Distribute $12y$ to $1$ : Finally, distribute $12y$ to the last term inside the parentheses. $\newline$ $12y \times 1 = 12y$
Combine distributed terms: Combine all the distributed terms to get the final simplified expression. $\newline$ $36y^{5} - 84y^{3} + 12y$