What is expand (1/2 y^2-3)^2 ?

The solution to expand (1/2 y^2-3)^2 is (y^4-12y^2+36)/4

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expand (1/2 y^2-3)^2

expand

(\frac{1}{2} y^{2} - 3)^{2}

\frac{y ^{4} - 12 y ^{2} + 36}{4}

Solution steps

(\frac{1}{2} y^{2} - 3)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(\frac{1}{2} y^{2} - 3)^{2} = (\frac{1}{2} y^{2})^{2} - 2 \cdot \frac{1}{2} y^{2} \cdot 3 + 3^{2}

= (\frac{1}{2} y^{2})^{2} - 2 \cdot \frac{1}{2} y^{2} \cdot 3 + 3^{2}

Simplify

(\frac{1}{2} y^{2})^{2} - 2 \cdot \frac{1}{2} y^{2} \cdot 3 + 3^{2} : \frac{y ^{4} - 12 y ^{2} + 36}{4}

= \frac{y ^{4} - 12 y ^{2} + 36}{4}

(4 + x 3)^{2}

90 - 6 0^{(- 0.125) (8)}

(x^{3} + 3 x^{2}) d x

\frac{- 2 x ^{2} - 2 x + 4}{( x ^{2} + 6 x + 5 ) ^{2}}

A (5, - 2) B (4, 3)

What is expand (1/2 y^2-3)^2 ?
The solution to expand (1/2 y^2-3)^2 is (y^4-12y^2+36)/4