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Popular >

simplify (3/2 x-8)^2

Solution

simplify

(\frac{3}{2} x - 8)^{2}

Solution

\frac{9 x ^{2}}{4} - 24 x + 64

Solution steps

(\frac{3}{2} x - 8)^{2}

Multiply

\frac{3}{2} x : \frac{3 x}{2}

= (\frac{3 x}{2} - 8)^{2}

Apply Perfect Square Formula:

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

a = \frac{3 x}{2}, b = 8

= (\frac{3 x}{2})^{2} - 2 \cdot \frac{3 x}{2} \cdot 8 + 8^{2}

Simplify

(\frac{3 x}{2})^{2} - 2 \cdot \frac{3 x}{2} \cdot 8 + 8^{2} : \frac{9 x ^{2}}{4} - 24 x + 64

= \frac{9 x ^{2}}{4} - 24 x + 64

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Frequently Asked Questions (FAQ)

What is (3/2 x-8)^2 ?
The solution to (3/2 x-8)^2 is (9x^2)/4-24x+64