What is factor 9x^2-(2+x)^2 ?

The solution to factor 9x^2-(2+x)^2 is 4(2x+1)(x-1)

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factor 9x^2-(2+x)^2

factor

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

4 (2 x + 1) (x - 1)

Solution steps

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

Simplify

9 x^{2} : (3 x)^{2}

= (3 x)^{2} - (2 + x)^{2}

Apply Difference of Two Squares Formula:

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

(3 x)^{2} - (2 + x)^{2} = (3 x + (2 + x)) (3 x - (2 + x))

= (3 x + (2 + x)) (3 x - (2 + x))

Simplify

(3 x + (2 + x)) (3 x - (2 + x)) : (4 x + 2) (2 x - 2)

= (4 x + 2) (2 x - 2)

Factor

4 x + 2 : 2 (2 x + 1)

Factor

2 x - 2 : 2 (x - 1)

= 2 (2 x + 1) \cdot 2 (x - 1)

Multiply the numbers:

2 \cdot 2 = 4

= 4 (2 x + 1) (x - 1)

- 4 - \frac{1}{4}

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lo g_{10} (3) (243)

\frac{243}{5}

\frac{24 x ^{3} y ^{8}}{8 x ^{4} y ^{6}}

What is factor 9x^2-(2+x)^2 ?
The solution to factor 9x^2-(2+x)^2 is 4(2x+1)(x-1)