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Popular >

factor 64z^3+125

Solution

factor

64 z^{3} + 125

Solution

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

Solution steps

64 z^{3} + 125

Apply exponent rules

= (4 z)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(4 z + 5) (4^{2} z^{2} - 5 \cdot 4 z + 5^{2}) : (4 z + 5) (16 z^{2} - 20 z + 25)

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

Popular Examples

expand (a+b)^4+4 expand

(a + b)^{4} + 4

simplify-6.8(n-8.9)-8.4(n+11.4)simplify

- 6.8 (n - 8.9) - 8.4 (n + 11.4)

factor sin^2(x)-sin^2(y)factor

sin^{2} (x) - sin^{2} (y)

expand (3a+b^2)^4 expand

(3 a + b^{2})^{4}

simplify ((3x)^{1/2}*(12x)^{3/2})/4 simplify

\frac{( 3 x ) ^{\frac{1}{2}} \cdot ( 12 x ) ^{\frac{3}{2}}}{4}

Frequently Asked Questions (FAQ)

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