What is factor 1-9x^2+24xy-16y^2 ?

The solution to factor 1-9x^2+24xy-16y^2 is (1+3x-4y)(1-3x+4y)

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factor 1-9x^2+24xy-16y^2

factor

1 - 9 x^{2} + 24 x y - 16 y^{2}

(1 + 3 x - 4 y) (1 - 3 x + 4 y)

Solution steps

1 - 9 x^{2} + 24 x y - 16 y^{2}

Factor

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

= 1 - (3 x - 4 y)^{2}

Rewrite

1

1^{2}

= 1^{2} - (3 x - 4 y)^{2}

Apply Difference of Two Squares Formula:

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

1^{2} - (3 x - 4 y)^{2} = (1 + (3 x - 4 y)) (1 - (3 x - 4 y))

= (1 + (3 x - 4 y)) (1 - (3 x - 4 y))

Simplify

(1 + (3 x - 4 y)) (1 - (3 x - 4 y)) : (1 + 3 x - 4 y) (1 - 3 x + 4 y)

= (1 + 3 x - 4 y) (1 - 3 x + 4 y)

(5 m - 4) (- 2 m + 7)

4 \cdot 6 \cdot 5

(3 - 4 i) (- 2 - 2 i)

(x + y) (a + b) + (x + y) (m + n)

\frac{10}{30}

What is factor 1-9x^2+24xy-16y^2 ?
The solution to factor 1-9x^2+24xy-16y^2 is (1+3x-4y)(1-3x+4y)