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wariber [46]
3 years ago
13

Solve with distributive property, simplify 10 pts! Please help!

Mathematics
2 answers:
Anettt [7]3 years ago
4 0
Hello! And thank you for your question!

Because there are so many steps. I will just write out the equations.

<span><span>7<span>y<span><span>​^5</span><span>​​</span></span></span>(6<span>y<span><span>​^2</span><span>​​</span></span></span>−3<span>y<span><span>​^3</span><span>​​</span></span></span>+5)

</span><span><span>7<span>y<span><span>​^5</span><span>​​</span></span></span>×6<span>y<span><span>​^2</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×−3<span>y<span><span>​^3</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×5

</span><span><span>(7×6)<span>y<span><span>​^5</span><span>​​</span></span></span><span>y^<span><span>​2</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×−3<span>y^<span><span>​3</span><span>​​</span></span></span>+7<span>y^<span><span>​5</span><span>​​</span></span></span>×5

</span>42<span>y<span><span>​^5</span><span>​​</span></span></span><span>y<span><span>​^2</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×−3<span>y<span><span>​^3</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×<span>5

</span><span><span>42<span>y<span><span>​^<span>5+2</span></span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×−3<span>y<span><span>​^3</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×5

</span>42<span>y<span><span>​^7</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×−3<span>y<span><span>​^3</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×<span>5

</span><span><span>42<span>y<span><span>​^7</span><span>​​</span></span></span>+(7×−3)<span>y<span><span>​^5</span><span>​​</span></span></span><span>y<span><span>​^3</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×5
</span>
<span><span>42<span>y<span><span>​^7</span><span>​​</span></span></span>−21<span>y<span><span>​^5</span><span>​​</span></span></span><span>y<span><span>​^3</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×5
</span>
<span><span>42<span>y<span><span>​^7</span><span>​​</span></span></span>−21<span>y<span><span>​^<span>5+3</span></span><span>​​</span></span></span>+7<span>y^<span><span>​5</span><span>​​</span></span></span>×5
</span>
<span><span>42<span>y<span><span>​^7</span><span>​​</span></span></span>−21<span>y<span><span>​^8</span><span>​​</span></span></span>+7<span>y<span><span>​^5</span><span>​​</span></span></span>×5
</span>
<span>42<span>y<span><span>​^7</span><span>​​</span></span></span>−21<span>y<span><span>​^8</span><span>​​</span></span></span>+35<span>y<span><span>​^5</span><span>​​

Final Answer:

</span></span></span></span><span><span>42<span>y<span><span>​</span></span></span></span></span>⁷​​−21y​⁸​​+35y​​⁵</span></span></span></span></span></span></span></span>
SOVA2 [1]3 years ago
3 0
Hello there!

(6y^2 - 3y^3 + 5)(7y^5)

Use the distributive property

=(6y^2)(7y^5) + (-3y^3)(7y^5) + (5)(7y^5)

= 42y^7 - 21y^8 + 35y^5

= -21y^8 + 42y^7 + 35y^5


Good luck with your studies buddy!
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