simplify 9(x-2/3)^2

Solution

simplify

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

(3 x - 2)^{2}

Solution steps

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

Simplify

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

= 9 (\frac{3 x - 2}{3})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

= 9 \cdot \frac{( 3 x - 2 ) ^{2}}{3 ^{2}}

3^{2} = 9

= 9 \cdot \frac{( 3 x - 2 ) ^{2}}{9}

Cross-cancel common factor:

9

= (3 x - 2)^{2}

25 q^{4} - 35 q^{3} + 10 q^{2}

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x 2 + 4