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anonymous
 5 years ago
Find the product: 2y^2(y^4y^34y^2+4y+5)
anonymous
 5 years ago
Find the product: 2y^2(y^4y^34y^2+4y+5)

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1Just multiply it out. So: \[2y^2(y^4  y^3  4y^2 + 4y + 5)\] You have to distribute the \(2y^2\) throughout the parenthesized part: \[2y^2 \cdot y^4  2y^2 \cdot y^3  2y^2 \cdot 4y^2 + 2y^2 \cdot 4y + 2y^2 \cdot 5\] Can you go ahead and do those multiplications?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do i add or multiply the exponents?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1When you multiply two different powers of the same number (or variable), you add the exponents. You would multiply them if you double raised. So: \[3x^2 \cdot x^5 = 3x^{2 + 5} = 3x^7\] \[(x^2)^5 = x^{2\cdot 5} = x^{10}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02y^2(y^4y^34y^2+4y+5) 2y^62y^58y^6+8y^310y^2??

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.1I think you messed up your third term. The rest look good.
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