What is expand f(4x-6)g(9x+5) ?

The solution to expand f(4x-6)g(9x+5) is 36fx^2g-34fxg-30fg

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expand f(4x-6)g(9x+5)

expand

f (4 x - 6) g (9 x + 5)

36 f x^{2} g - 34 f xg - 30 f g

Solution steps

f (4 x - 6) g (9 x + 5)

= f g (4 x - 6) (9 x + 5)

Apply FOIL method

(4 x - 6) (9 x + 5) : 36 x^{2} - 34 x - 30

= f g (36 x^{2} - 34 x - 30)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

f g (36 x^{2} - 34 x - 30) = f g \cdot 36 x^{2} + f g (- 34 x) + f g (- 30)

= f g \cdot 36 x^{2} + f g (- 34 x) + f g (- 30)

Simplify

f g \cdot 36 x^{2} + f g (- 34 x) + f g (- 30) : 36 f x^{2} g - 34 f xg - 30 f g

= 36 f x^{2} g - 34 f xg - 30 f g

cot (θ) tan (θ)

\frac{6 a}{a ^{2} - 9} + \frac{a}{a + 3}

\frac{x ^{2} + 4 x + 4}{x ^{2} + 7 x + 10}

\frac{x}{2} + 4

\frac{cot ( x ) \cdot sec ( x )}{csc ( x )}

What is expand f(4x-6)g(9x+5) ?
The solution to expand f(4x-6)g(9x+5) is 36fx^2g-34fxg-30fg