What is factor 343+8a^3 ?

The solution to factor 343+8a^3 is (2a+7)(4a^2-14a+49)

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factor 343+8a^3

factor

343 + 8 a^{3}

(2 a + 7) (4 a^{2} - 14 a + 49)

Solution steps

343 + 8 a^{3}

Write in the standard form

= 8 a^{3} + 343

Apply exponent rules

= (2 a)^{3} + 7^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 a + 7) (2^{2} a^{2} - 7 \cdot 2 a + 7^{2}) : (2 a + 7) (4 a^{2} - 14 a + 49)

= (2 a + 7) (4 a^{2} - 14 a + 49)

25 x^{2} + 10 x + 1 > 0

∣ 5 w - 10 ∣ = 0

1 0^{6}

x^{2} + 2 x - 1 > 0

- \frac{1}{3} \cdot 3

What is factor 343+8a^3 ?
The solution to factor 343+8a^3 is (2a+7)(4a^2-14a+49)