The binomial expansion of (x^(2)+y)^(2) is qquad A. x^(2)+2x^(2)y+y^(2) B. x^(4)+2x^(3)y+x^(2)y^(2) C. x^(4)+2x^(2)y+y^(2)

Identify formula: Identify the formula for binomial expansion (a+b)^2 = a^2 + 2ab + b^2. Here, a = x^2 and b = y. Calculate each term: Calculate each term: (x^2)^2 = x^4, 2(x^2)(y) = 2x^2y, and y^2 = y^2. Compare with options: Compare the result with the options provided.

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The binomial expansion of
(x^(2)+y)^(2) is
qquad
A.
x^(2)+2x^(2)y+y^(2)
B.
x^(4)+2x^(3)y+x^(2)y^(2)
C.
x^(4)+2x^(2)y+y^(2)

The binomial expansion of $\left(x^{2}+y\right)^{2}$ is $\qquad$ $\newline$ A. $x^{2}+2 x^{2} y+y^{2}$ $\newline$ B. $x^{4}+2 x^{3} y+x^{2} y^{2}$ $\newline$ C. $x^{4}+2 x^{2} y+y^{2}$

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Math Problems

Precalculus

Pascal's triangle and the Binomial Theorem

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Q. The binomial expansion of

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

\qquad

\newline

x^{2}+2 x^{2} y+y^{2}

\newline

x^{4}+2 x^{3} y+x^{2} y^{2}

\newline

x^{4}+2 x^{2} y+y^{2}

Identify formula: Identify the formula for binomial expansion $(a+b)^2 = a^2 + 2ab + b^2$ . Here, $a = x^2$ and $b = y$ .
Calculate each term: Calculate each term: $(x^2)^2 = x^4$ , $2(x^2)(y) = 2x^2y$ , and $y^2 = y^2$ .
Compare with options: Compare the result with the options provided.