What is factor 16x^4-24x^2y+9y^2 ?

The solution to factor 16x^4-24x^2y+9y^2 is (4x^2-3y)^2

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factor 16x^4-24x^2y+9y^2

factor

16 x^{4} - 24 x^{2} y + 9 y^{2}

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

Solution steps

16 x^{4} - 24 x^{2} y + 9 y^{2}

Break the expression into groups

= (16 x^{4} - 12 x^{2} y) + (- 12 x^{2} y + 9 y^{2})

Factor out

4 x^{2}

from

16 x^{4} - 12 x^{2} y : 4 x^{2} (4 x^{2} - 3 y)

Factor out

- 3 y

from

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

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

Factor out common term

4 x^{2} - 3 y

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{15}{72}

\frac{36}{28}

2 r t + 4 r

(9 x + 5)^{2}

∣ 2 ∣ - 4

What is factor 16x^4-24x^2y+9y^2 ?
The solution to factor 16x^4-24x^2y+9y^2 is (4x^2-3y)^2