What is (sqrt(x^2-9)-4)(sqrt(x^2-9)-4) ?

The solution to (sqrt(x^2-9)-4)(sqrt(x^2-9)-4) is x^2-8sqrt(x^2-9)+7

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simplify (sqrt(x^2-9)-4)(sqrt(x^2-9)-4)

simplify

(x^{2} - 9 - 4) (x^{2} - 9 - 4)

x^{2} - 8 x^{2} - 9 + 7

Solution steps

(x^{2} - 9 - 4) (x^{2} - 9 - 4)

Apply exponent rule:

aa = a^{2}

(x^{2} - 9 - 4) (x^{2} - 9 - 4) = (x^{2} - 9 - 4)^{2}

= (x^{2} - 9 - 4)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x^{2} - 9 - 4)^{2} = (x^{2} - 9)^{2} - 2 x^{2} - 9 \cdot 4 + 4^{2}

= (x^{2} - 9)^{2} - 2 x^{2} - 9 \cdot 4 + 4^{2}

Simplify

(x^{2} - 9)^{2} - 2 x^{2} - 9 \cdot 4 + 4^{2} : x^{2} - 8 x^{2} - 9 + 7

= x^{2} - 8 x^{2} - 9 + 7

- 6 a^{2} b^{4} c^{2} (- 6 a b^{4} c^{2} + 4 a b^{4} + 9 a^{2} b^{4} c^{2})

2 \cdot (2 \cdot 1 0^{- 5}) \cdot (1.8 \cdot 1 0^{- 4}) \cdot (165 - 20)

(26) (2)

sin (4 t) e^{- s t}

2^{10 \cdot 2}

What is (sqrt(x^2-9)-4)(sqrt(x^2-9)-4) ?
The solution to (sqrt(x^2-9)-4)(sqrt(x^2-9)-4) is x^2-8sqrt(x^2-9)+7