What is factor 81z^2-4x^2 ?

The solution to factor 81z^2-4x^2 is (9z+2x)(9z-2x)

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factor 81z^2-4x^2

factor

81 z^{2} - 4 x^{2}

(9 z + 2 x) (9 z - 2 x)

Solution steps

81 z^{2} - 4 x^{2}

81 z^{2} = (9 z)^{2}

4 x^{2} = (2 x)^{2}

= (9 z)^{2} - (2 x)^{2}

Apply Difference of Two Squares Formula:

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

(9 z)^{2} - (2 x)^{2} = (9 z + 2 x) (9 z - 2 x)

= (9 z + 2 x) (9 z - 2 x)

16 x^{2} - 40 x - 24

\frac{7 !}{4 !}

2 (x + 1) = 6

(65)^{2}

2 a - 3 = 9 a - 10