What is ((4-2sqrt(x))(5-3sqrt(x)))/(25-9x) ?

The solution to ((4-2sqrt(x))(5-3sqrt(x)))/(25-9x) is (20-22sqrt(x)+6x)/(25-9x)

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simplify ((4-2sqrt(x))(5-3sqrt(x)))/(25-9x)

simplify

\frac{( 4 - 2 x ) ( 5 - 3 x )}{25 - 9 x}

\frac{20 - 22 x + 6 x}{25 - 9 x}

Solution steps

\frac{( 4 - 2 x ) ( 5 - 3 x )}{25 - 9 x}

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

(4 - 2 x) (5 - 3 x) = 4 \cdot 5 + 4 (- 3 x) - 2 x \cdot 5 - 2 x (- 3 x)

= \frac{4 \cdot 5 + 4 ( - 3 x ) - 2 x \cdot 5 - 2 x ( - 3 x )}{25 - 9 x}

Simplify

4 \cdot 5 + 4 (- 3 x) - 2 x \cdot 5 - 2 x (- 3 x) : 20 - 22 x + 6 x

= \frac{20 - 22 x + 6 x}{25 - 9 x}

(2 x + \frac{1}{x})^{6}

\frac{\partial}{\partial x} ((z) (2 x^{2} + y^{2}))

A (- 4, - 7)

(2 x + \frac{1}{x})^{5}

(5 x - 10) (3 - x)

What is ((4-2sqrt(x))(5-3sqrt(x)))/(25-9x) ?
The solution to ((4-2sqrt(x))(5-3sqrt(x)))/(25-9x) is (20-22sqrt(x)+6x)/(25-9x)