Question

Solve with distributive property, simplify

10 pts! Please help!

Answer 1

Hello! And thank you for your question!

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

7y​^5​​(6y​^2​​−3y​^3​​+5)

7y​^5​​×6y​^2​​+7y​^5​​×−3y​^3​​+7y​^5​​×5

(7×6)y​^5​​y^​2​​+7y​^5​​×−3y^​3​​+7y^​5​​×5

42y​^5​​y​^2​​+7y​^5​​×−3y​^3​​+7y​^5​​×5

42y​^5+2​​+7y​^5​​×−3y​^3​​+7y​^5​​×5

42y​^7​​+7y​^5​​×−3y​^3​​+7y​^5​​×5

42y​^7​​+(7×−3)y​^5​​y​^3​​+7y​^5​​×5

42y​^7​​−21y​^5​​y​^3​​+7y​^5​​×5

42y​^7​​−21y​^5+3​​+7y^​5​​×5

42y​^7​​−21y​^8​​+7y​^5​​×5

42y​^7​​−21y​^8​​+35y​^5​​

Final Answer:

42y​⁷​​−21y​⁸​​+35y​​⁵

Answer 2

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!