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Fully simplify.

(5x+y^(5))^(2)
Answer:

Fully simplify. $\newline$ $\left(5 x+y^{5}\right)^{2}$ $\newline$ Answer:

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Simplify radical expressions: mixed review

Full solution

Q. Fully simplify.

\newline

\left(5 x+y^{5}\right)^{2}

\newline

Answer:

Apply binomial expansion formula: Apply the binomial expansion formula to the expression $(5x + y^{5})^{2}$ . $\newline$ The binomial expansion formula for $(a + b)^2$ is $a^2 + 2ab + b^2$ . $\newline$ $(5x + y^{5})^{2} = (5x)^2 + 2\cdot(5x)\cdot(y^{5}) + (y^{5})^2$
Calculate each term: Calculate each term of the expansion separately. $\newline$ First term: $(5x)^2 = 25x^2$ $\newline$ Second term: $2\cdot(5x)\cdot(y^{5}) = 10xy^{5}$ $\newline$ Third term: $(y^{5})^2 = y^{10}$
Combine calculated terms: Combine the calculated terms to get the final expanded form. $25x^2 + 10xy^{5} + y^{10}$

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