What is (64-m^3)/((4-m)^3) ?

The solution to (64-m^3)/((4-m)^3) is (m^2+4m+16)/((m-4)^2)

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simplify (64-m^3)/((4-m)^3)

simplify

\frac{64 - m ^{3}}{( 4 - m ) ^{3}}

\frac{m ^{2} + 4 m + 16}{( m - 4 ) ^{2}}

Solution steps

\frac{64 - m ^{3}}{( 4 - m ) ^{3}}

Factor

64 - m^{3} : - (m - 4) (m^{2} + 4 m + 16)

= \frac{- ( m - 4 ) ( m ^{2} + 4 m + 16 )}{( 4 - m ) ^{3}}

(4 - m)^{3} = - (m - 4)^{3}

= \frac{- ( m - 4 ) ( m ^{2} + 4 m + 16 )}{- ( m - 4 ) ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(m - 4)^{3} = (m - 4) (m - 4)^{2}

= \frac{- ( m - 4 ) ( m ^{2} + 4 m + 16 )}{- ( m - 4 ) ( m - 4 ) ^{2}}

Cancel the common factor:

m - 4

= \frac{- ( m ^{2} + 4 m + 16 )}{- ( m - 4 ) ^{2}}

Apply the fraction rule:

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

= \frac{m ^{2} + 4 m + 16}{( m - 4 ) ^{2}}

\frac{3 z}{4} + 5 \leq - 1

a^{2} + 36 b^{2} - 12 ab

x - 10 = 5

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

49 m^{4} + 140 m^{2} + 100

What is (64-m^3)/((4-m)^3) ?
The solution to (64-m^3)/((4-m)^3) is (m^2+4m+16)/((m-4)^2)