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Popular >

simplify (-3/2 x+3)^2

Solution

simplify

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

Solution

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

Solution steps

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

Multiply

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

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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