What is factor 125a^3+343 ?

The solution to factor 125a^3+343 is (5a+7)(25a^2-35a+49)

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factor 125a^3+343

factor

125 a^{3} + 343

(5 a + 7) (25 a^{2} - 35 a + 49)

Solution steps

125 a^{3} + 343

Apply exponent rules

= (5 a)^{3} + 7^{3}

Apply Sum of Cubes Formula:

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

(5 a)^{3} + 7^{3} = (5 a + 7) (5^{2} a^{2} - 7 \cdot 5 a + 7^{2})

= (5 a + 7) (5^{2} a^{2} - 7 \cdot 5 a + 7^{2})

Simplify

(5 a + 7) (5^{2} a^{2} - 7 \cdot 5 a + 7^{2}) : (5 a + 7) (25 a^{2} - 35 a + 49)

= (5 a + 7) (25 a^{2} - 35 a + 49)

5 (2 h + 8) < 60

2 2^{2}

2 x < 3 x + 1 \leq 5 x - 2

\frac{- 15 + 4 i}{7 - 9 i}

\frac{2 m - 14}{3} + 1 4^{2} - 14 + 2 m = 1 4^{3} - 3 \cdot 14 + 2

What is factor 125a^3+343 ?
The solution to factor 125a^3+343 is (5a+7)(25a^2-35a+49)