What is 4((5-1)/(2x))^2 ?

The solution to 4((5-1)/(2x))^2 is (16)/(x^2)

Popular >

simplify 4((5-1)/(2x))^2

simplify

4 (\frac{5 - 1}{2 x})^{2}

\frac{16}{x ^{2}}

Solution steps

4 (\frac{5 - 1}{2 x})^{2}

Apply exponent rule:

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

(\frac{5 - 1}{2 x})^{2} = \frac{( 5 - 1 ) ^{2}}{( 2 x ) ^{2}}

= 4 \cdot \frac{( 5 - 1 ) ^{2}}{( 2 x ) ^{2}}

(5 - 1)^{2} = 16

= 4 \cdot \frac{16}{( 2 x ) ^{2}}

Simplify

(2 x)^{2} : 4 x^{2}

= 4 \cdot \frac{16}{4 x ^{2}}

Divide the numbers:

\frac{16}{4} = 4

= 4 \cdot \frac{4}{x ^{2}}

Apply the fraction rule:

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

= \frac{4 \cdot 4}{x ^{2}}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{16}{x ^{2}}

\frac{( m ^{15} \cdot x \cdot m ^{16} )}{( m ^{23} )}

2 x (x - 1) (x - 2)

l (cos (2 t + 3))

(3 - 3 r)^{3}

\frac{( 2 ( f ^{4} ) ^{2} f ^{2} )}{( 8 f ^{12} )}