What is (sqrt(x)-3)(sqrt(x)-3) ?

The solution to (sqrt(x)-3)(sqrt(x)-3) is x-6sqrt(x)+9

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simplify (sqrt(x)-3)(sqrt(x)-3)

simplify

(x - 3) (x - 3)

x - 6 x + 9

Solution steps

(x - 3) (x - 3)

Apply exponent rule:

aa = a^{2}

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

= (x - 3)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

- 2 x \cdot 3 = - 6 x

3^{2} = 9

= x - 6 x + 9

(4 x y^{3}) (3 x^{3} y^{5})

a^{3} \cdot b^{3}

- 4 e^{- x} cos (x)

1.5 \times 1 0^{- 2}

1.5 \times 1 0^{- 4}

What is (sqrt(x)-3)(sqrt(x)-3) ?
The solution to (sqrt(x)-3)(sqrt(x)-3) is x-6sqrt(x)+9