Fully simplify. (5x-y^(2))^(2) Answer:

Apply binomial formula: Apply the square of a binomial formula, which is (a - b)^2 = a^2 - 2ab + b^2, to the expression (5x - y^2)^2. Calculation: (5x - y^2)^2 = (5x)^2 - 2*(5x)*(y^2) + (y^2)^2Calculate terms separately: Calculate each term separately. Calculation: (5x)^2 = 25x^2, -2*(5x)*(y^2) = -10xy^2, (y^2)^2 = y^4Combine results: Combine the results from Step 2 to write the fully simplified form. Calculation: 25x^2 - 10xy^2 + y^4

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

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Algebra 1

Multiply and divide rational expressions

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Q. Fully simplify.

\newline

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

\newline

Answer:

Apply binomial formula: Apply the square of a binomial formula, which is $(a - b)^2 = a^2 - 2ab + b^2$ , to the expression $(5x - y^2)^2$ . $\newline$ Calculation: $(5x - y^2)^2 = (5x)^2 - 2\cdot(5x)\cdot(y^2) + (y^2)^2$
Calculate terms separately: Calculate each term separately. $\newline$ Calculation: $(5x)^2 = 25x^2$ , $-2\cdot(5x)\cdot(y^2) = -10xy^2$ , $(y^2)^2 = y^4$
Combine results: Combine the results from Step $2$ to write the fully simplified form. $\newline$ Calculation: $25x^2 - 10xy^2 + y^4$