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Popular >

factor ((24-3x)/4)^2

Solution

factor

(\frac{24 - 3 x}{4})^{2}

Solution

\frac{9 ( x - 8 ) ^{2}}{16}

Solution steps

(\frac{24 - 3 x}{4})^{2}

\frac{24 - 3 x}{4} = \frac{- 3 ( x - 8 )}{4}

= (\frac{- 3 ( x - 8 )}{4})^{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= (- \frac{3 ( x - 8 )}{4})^{2}

Apply exponent rule:

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

if

n

is even

(- \frac{3 ( x - 8 )}{4})^{2} = (\frac{3 ( x - 8 )}{4})^{2}

= (\frac{3 ( x - 8 )}{4})^{2}

Apply exponent rule:

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

= \frac{( 3 ( x - 8 ) ) ^{2}}{4 ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

= \frac{3 ^{2} ( x - 8 ) ^{2}}{4 ^{2}}

Refine

= \frac{9 ( x - 8 ) ^{2}}{16}

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Frequently Asked Questions (FAQ)

What is factor ((24-3x)/4)^2 ?
The solution to factor ((24-3x)/4)^2 is (9(x-8)^2)/(16)