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Popular >

factor 8t^3+125

Solution

factor

8 t^{3} + 125

Solution

(2 t + 5) (4 t^{2} - 10 t + 25)

Solution steps

8 t^{3} + 125

Apply exponent rules

= (2 t)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 t + 5) (2^{2} t^{2} - 5 \cdot 2 t + 5^{2}) : (2 t + 5) (4 t^{2} - 10 t + 25)

= (2 t + 5) (4 t^{2} - 10 t + 25)

Popular Examples

simplify (10!)/((10-1)!1!)simplify

\frac{10 !}{( 10 - 1 ) ! 1 !}

factor x^2-2xy+y^2 factor

x^{2} - 2 x y + y^{2}

2 X^{2} + 4 X - 5 = 0

(x+5)(x-2)(x-1)(x+1)<0

(x + 5) (x - 2) (x - 1) (x + 1) < 0

simplify (18^2)^{1/3}simplify

(1 8^{2})^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

What is factor 8t^3+125 ?
The solution to factor 8t^3+125 is (2t+5)(4t^2-10t+25)