Fully simplify. (4x^(3)+y^(3))^(2) Answer:

Expand Binomial: To simplify the expression (4x^(3)+y^(3))^(2), we need to square the binomial (4x^3 + y^3). Using the formula (a+b)^2 = a^2 + 2ab + b^2, where a = 4x^3 and b = y^3, we can expand the expression.Square 4x^3: First, we square the term 4x^3 to get (4x^3)^2. (4x^3)^2 = 16x^6Multiply 4x^3 and y^3: Next, we multiply the terms 4x^3 and y^3 by 2 to get 2*(4x^3)*(y^3). 2*(4x^3)*(y^3) = 8x^3*y^3Square y^3: Finally, we square the term y^3 to get (y^3)^2. (y^3)^2 = y^6Combine Terms: Now, we combine all the terms to get the fully simplified expression. 16x^6 + 8x^3*y^3 + y^6

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Fully simplify.

(4x^(3)+y^(3))^(2)
Answer:

Fully simplify. $\newline$ $\left(4 x^{3}+y^{3}\right)^{2}$ $\newline$ Answer:

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Full solution

Q. Fully simplify.

\newline

\left(4 x^{3}+y^{3}\right)^{2}

\newline

Answer:

Expand Binomial: To simplify the expression $(4x^{3}+y^{3})^{2}$ , we need to square the binomial $(4x^3 + y^3)$ . Using the formula $(a+b)^2 = a^2 + 2ab + b^2$ , where $a = 4x^3$ and $b = y^3$ , we can expand the expression.
Square $4x^3$ : First, we square the term $4x^3$ to get $(4x^3)^2$ . $\newline$ $(4x^3)^2 = 16x^6$
Multiply $4x^3$ and $y^3$ : Next, we multiply the terms $4x^3$ and $y^3$ by $2$ to get $2\times(4x^3)\times(y^3)$ . $\newline$ $2\times(4x^3)\times(y^3) = 8x^3y^3$
Square $y^3$ : Finally, we square the term $y^3$ to get $(y^3)^2$ . $\newline$ $(y^3)^2 = y^6$
Combine Terms: Now, we combine all the terms to get the fully simplified expression. $16x^6 + 8x^3y^3 + y^6$