What is factor 128x^2+96xy+18y^2 ?

The solution to factor 128x^2+96xy+18y^2 is 2(8x+3y)^2

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factor 128x^2+96xy+18y^2

factor

128 x^{2} + 96 x y + 18 y^{2}

2 (8 x + 3 y)^{2}

Solution steps

128 x^{2} + 96 x y + 18 y^{2}

Factor out common term

2 : 2 (64 x^{2} + 48 x y + 9 y^{2})

= 2 (64 x^{2} + 48 x y + 9 y^{2})

Factor

64 x^{2} + 48 x y + 9 y^{2} : (8 x + 3 y) (8 x + 3 y)

= 2 (8 x + 3 y) (8 x + 3 y)

Apply exponent rule:

aa = a^{2}

(8 x + 3 y) (8 x + 3 y) = (8 x + 3 y)^{2}

= 2 (8 x + 3 y)^{2}

∣ 7 x - 1 ∣ > 10 x - 2

4 x + 8 = 7.2 + 5 x

9 x^{2} (4 x^{2} - 3) - 4 (4 x^{2} - 3)

\frac{x}{3} > 3 + \frac{10}{3 x}

What is factor 128x^2+96xy+18y^2 ?
The solution to factor 128x^2+96xy+18y^2 is 2(8x+3y)^2