What is expand (ax+b)(2-ay'(x)) ?

The solution to expand (ax+b)(2-ay'(x)) is 2ax-a^2xy'(x)+2b-aby'(x)

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expand (ax+b)(2-ay'(x))

expand

(a x + b) (2 - a y^{'} (x))

2 a x - a^{2} x y' (x) + 2 b - ab y' (x)

Solution steps

(a x + b) (2 - a y^{'} (x))

Apply FOIL method:

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

a = a x, b = b, c = 2, d = - a y^{'} (x)

= a x \cdot 2 + a x (- a y^{^{'}} (x)) + b \cdot 2 + b (- a y^{^{'}} (x))

Apply minus-plus rules

+ (- a) = - a

= 2 a x - aa x y^{^{'}} (x) + 2 b - ab y^{^{'}} (x)

aa x y^{'} (x) = a^{2} x y^{'} (x)

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

e^{\frac{1}{n}} (e - 1)

(3 e^{- 2 t} - 4 e^{- 4 t})^{2}

\frac{x - 6}{( - 2 x + 4 ) ( 5 x + 9 )}

\frac{x ^{2} - 4}{7 ( x ^{2} - 9 )}

\frac{- 2 x + x h + 2 h}{( x + 2 ) h}

What is expand (ax+b)(2-ay'(x)) ?
The solution to expand (ax+b)(2-ay'(x)) is 2ax-a^2xy'(x)+2b-aby'(x)