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Popular >

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

Solution

expand

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

Solution

\frac{9 x ^{2} - 36 x + 36}{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(- \frac{3}{2} x)^{2} + 2 (- \frac{3}{2} x) \cdot 3 + 3^{2} : \frac{9 x ^{2} - 36 x + 36}{4}

= \frac{9 x ^{2} - 36 x + 36}{4}

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Frequently Asked Questions (FAQ)

What is expand (-3/2 x+3)^2 ?
The solution to expand (-3/2 x+3)^2 is (9x^2-36x+36)/4