What is factor 45x^2-120xy+80y^2 ?

The solution to factor 45x^2-120xy+80y^2 is 5(3x-4y)^2

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factor 45x^2-120xy+80y^2

factor

45 x^{2} - 120 x y + 80 y^{2}

5 (3 x - 4 y)^{2}

Solution steps

45 x^{2} - 120 x y + 80 y^{2}

Factor out common term

5 : 5 (9 x^{2} - 24 x y + 16 y^{2})

= 5 (9 x^{2} - 24 x y + 16 y^{2})

Factor

9 x^{2} - 24 x y + 16 y^{2} : (3 x - 4 y) (3 x - 4 y)

= 5 (3 x - 4 y) (3 x - 4 y)

Apply exponent rule:

aa = a^{2}

(3 x - 4 y) (3 x - 4 y) = (3 x - 4 y)^{2}

= 5 (3 x - 4 y)^{2}

∣ 6 x - 17 ∣ + 3 > 16

(x - 8)^{2} - 64 = 0

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

5 (- 5 b - 1) + 6 > 70

3^{2.5}

What is factor 45x^2-120xy+80y^2 ?
The solution to factor 45x^2-120xy+80y^2 is 5(3x-4y)^2