What is factor 4(x-2)^2-21 ?

The solution to factor 4(x-2)^2-21 is (2(x-2)+sqrt(21))(2(x-2)-sqrt(21))

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factor 4(x-2)^2-21

factor

4 (x - 2)^{2} - 21

(2 (x - 2) + 21) (2 (x - 2) - 21)

Solution steps

4 (x - 2)^{2} - 21

Rewrite

4 (x - 2)^{2} - 21

(2 (x - 2))^{2} - (21)^{2}

= (2 (x - 2))^{2} - (21)^{2}

Apply Difference of Two Squares Formula:

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

(2 (x - 2))^{2} - (21)^{2} = (2 (x - 2) + 21) (2 (x - 2) - 21)

= (2 (x - 2) + 21) (2 (x - 2) - 21)

4292

y^{(3)} + 2 y^{(2)} - 5 y - 2

4 m + 15 m

2 I n (w a) - 5 I n (h t) - I n (er)

4 + 4 x^{2} + x^{4}

What is factor 4(x-2)^2-21 ?
The solution to factor 4(x-2)^2-21 is (2(x-2)+sqrt(21))(2(x-2)-sqrt(21))