Adkins Greene
10/11/2023 · High School
Use the distributive property to remove the parenthes \[ \left(3 y^{2}-2 y^{5}+4\right) 7 y^{3} \] Simplify your answer as much as possible.
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Step-by-step Solution
Calculate or simplify the expression \( (3*y^2-2*y^5+4)*7*y^3 \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(3y^{2}-2y^{5}+4\right)\times 7y^{3}\)
- step1: Apply the distributive property:
\(3y^{2}\times 7y^{3}-2y^{5}\times 7y^{3}+4\times 7y^{3}\)
- step2: Multiply the terms:
\(21y^{5}-14y^{8}+28y^{3}\)
Using the distributive property, we have:
\[ (3y^{2}-2y^{5}+4) \times 7y^{3} = 21y^{5} - 14y^{8} + 28y^{3} \]
Therefore, the simplified expression is \( 21y^{5} - 14y^{8} + 28y^{3} \).
Quick Answer
The simplified expression is \( 21y^{5} - 14y^{8} + 28y^{3} \).
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