What is 3(-3/(3x+2))^2 ?

The solution to 3(-3/(3x+2))^2 is (27)/((3x+2)^2)

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

simplify

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

\frac{27}{( 3 x + 2 ) ^{2}}

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

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

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

Apply exponent rule:

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

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

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

3^{2} = 9

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply the numbers:

3 \cdot 9 = 27

= \frac{27}{( 3 x + 2 ) ^{2}}

- (4 k - 1.9)

6 - (- 15)

6 - (- 12)

(- 3 x - 10)^{2} + 6 (- 3 x - 10) + 8

(2 x + 5)^{3}