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Popular >

factor 64x^3+343

Solution

factor

64 x^{3} + 343

Solution

(4 x + 7) (16 x^{2} - 28 x + 49)

Solution steps

64 x^{3} + 343

Apply exponent rules

= (4 x)^{3} + 7^{3}

Apply Sum of Cubes Formula:

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

(4 x)^{3} + 7^{3} = (4 x + 7) (4^{2} x^{2} - 7 \cdot 4 x + 7^{2})

= (4 x + 7) (4^{2} x^{2} - 7 \cdot 4 x + 7^{2})

Simplify

(4 x + 7) (4^{2} x^{2} - 7 \cdot 4 x + 7^{2}) : (4 x + 7) (16 x^{2} - 28 x + 49)

= (4 x + 7) (16 x^{2} - 28 x + 49)

Popular Examples

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\frac{5}{2 ( x ^{2} - 3 ) + 1}

factor 6w^8+17w^4+12 factor

6 w^{8} + 17 w^{4} + 12

simplify (8^3)/(8^3)simplify

\frac{8 ^{3}}{8 ^{3}}

simplify-(5/7)^0 simplify

- (\frac{5}{7})^{0}

Frequently Asked Questions (FAQ)

What is factor 64x^3+343 ?
The solution to factor 64x^3+343 is (4x+7)(16x^2-28x+49)