Fully simplify. (4x^(5)-y^(4))^(2) Answer:

Apply Binomial Expansion Formula: To simplify the expression (4x^(5)-y^(4))^(2), we need to apply the binomial expansion formula (a-b)^2 = a^2 - 2ab + b^2, where a is 4x^(5) and b is y^(4).Square 4x^(5): First, we square the term 4x^(5) to get (4x^(5))^2 = 16x^(10).Square y^(4): Next, we square the term y^(4) to get (y^(4))^2 = y^(8).Multiply and Double: Then, we multiply the two terms together and double them to get the middle term of the binomial expansion, which is -2 * (4x^(5)) * (y^(4)) = -8x^(5)y^(4).Combine All Terms: Now, we combine all the terms to get the fully simplified expression: 16x^(10) - 8x^(5)y^(4) + y^(8).

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Fully simplify.

(4x^(5)-y^(4))^(2)
Answer:

Fully simplify. $\newline$ $\left(4 x^{5}-y^{4}\right)^{2}$ $\newline$ Answer:

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Algebra 2

Find trigonometric ratios using reference angles

Full solution

Q. Fully simplify.

\newline

\left(4 x^{5}-y^{4}\right)^{2}

\newline

Answer:

Apply Binomial Expansion Formula: To simplify the expression $4x^{5}-y^{4})^{2}\, we need to apply the binomial expansion formula \$a-b)^{2} = a^{2} - 2ab + b^{2}\, where \$a$ is $4x^{5}$ and $b$ is $y^{4}$ .
Square $4x^{5}$ : First, we square the term $4x^{5}$ to get $(4x^{5})^2 = 16x^{10}$ .
Square $y^{4}$ : Next, we square the term $y^{4}$ to get $(y^{4})^2 = y^{8}$ .
Multiply and Double: Then, we multiply the two terms together and double them to get the middle term of the binomial expansion, which is $-2 \times (4x^{5}) \times (y^{4}) = -8x^{5}y^{4}$ .
Combine All Terms: Now, we combine all the terms to get the fully simplified expression: $16x^{10} - 8x^{5}y^{4} + y^{8}$ .