What is factor+64(m+n)^3-125 ?

The solution to factor+64(m+n)^3-125 is (4(m+n)-5)(16(m+n)^2+20(m+n)+25)

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factor+64(m+n)^3-125

factor

+ 64 (m + n)^{3} - 125

(4 (m + n) - 5) (16 (m + n)^{2} + 20 (m + n) + 25)

Solution steps

64 (m + n)^{3} - 125

Rewrite

64 (m + n)^{3} - 125

(4 (m + n))^{3} - 5^{3}

= (4 (m + n))^{3} - 5^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(4 (m + n))^{3} - 5^{3} = (4 (m + n) - 5) (4^{2} (m + n)^{2} + 5 \cdot 4 (m + n) + 5^{2})

= (4 (m + n) - 5) (4^{2} (m + n)^{2} + 5 \cdot 4 (m + n) + 5^{2})

Refine

= (4 (m + n) - 5) (16 (m + n)^{2} + 20 (m + n) + 25)

(y + 5)^{2} + 4 (y + 5) + 4

e^{3} + e^{5}

y x + 1 + 2 a y x + 2 a

sin (h) (ln (2))

25 - 81

What is factor+64(m+n)^3-125 ?
The solution to factor+64(m+n)^3-125 is (4(m+n)-5)(16(m+n)^2+20(m+n)+25)