Questions: (4y^2+x)(y^2-3x)

Transcript text: $\left(4 y^{2}+x\right)\left(y^{2}-3 x\right)$

Solution

Solution Steps

Step 1: Expand the Expression

We start with the expression $(4y^{2}+x)(y^{2}-3x)$. To expand this, we apply the distributive property, multiplying each term in the first binomial by each term in the second binomial.

Step 2: Combine Like Terms

After expanding, we combine like terms to simplify the expression. The result of the expansion is: \[ -3x^{2} - 11xy^{2} + 4y^{4} \]

Final Answer

The expanded form of the expression $(4y^{2}+x)(y^{2}-3x)$ is: \[ \boxed{-3x^{2} - 11xy^{2} + 4y^{4}} \]

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