What is factor 125b^3+216y^3 ?

The solution to factor 125b^3+216y^3 is (5b+6y)(25b^2+36y^2-30by)

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factor 125b^3+216y^3

factor

125 b^{3} + 216 y^{3}

(5 b + 6 y) (25 b^{2} + 36 y^{2} - 30 b y)

Solution steps

125 b^{3} + 216 y^{3}

Apply exponent rules

= (5 b)^{3} + (6 y)^{3}

Apply Sum of Cubes Formula:

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

(5 b)^{3} + (6 y)^{3} = (5 b + 6 y) ((5 b)^{2} - 5 b \cdot 6 y + (6 y)^{2})

= (5 b + 6 y) ((5 b)^{2} - 5 b \cdot 6 y + (6 y)^{2})

Simplify

(5 b)^{2} - 5 b \cdot 6 y + (6 y)^{2} : 25 b^{2} - 30 y b + 36 y^{2}

= (5 b + 6 y) (25 b^{2} - 30 y b + 36 y^{2})

= (5 b + 6 y) (25 b^{2} + 36 y^{2} - 30 b y)

(\frac{- 3 a ^{3}}{b})^{3}

p^{3} - 3 p^{2} + 3 p - 1

4 x - 2 y + 6

8 (a + b)^{4} + (a + b)

0.5 (3 a + 4) + 1.9 a - 1

What is factor 125b^3+216y^3 ?
The solution to factor 125b^3+216y^3 is (5b+6y)(25b^2+36y^2-30by)