What is expand (x+5h)(e^{y+5h}) ?

The solution to expand (x+5h)(e^{y+5h}) is e^{y+5h}x+5e^{y+5h}h

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expand (x+5h)(e^{y+5h})

expand

(x + 5 h) (e^{y + 5 h})

e^{y + 5 h} x + 5 e^{y + 5 h} h

Solution steps

(x + 5 h) (e^{y + 5 h})

= (e^{y + 5 h}) (x + 5 h)

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{y + 5 h}), b = x, c = 5 h

= (e^{y + 5 h}) x + (e^{y + 5 h}) \cdot 5 h

= x (e^{y + 5 h}) + 5 h (e^{y + 5 h})

Remove parentheses:

(a) = a

= e^{y + 5 h} x + 5 e^{y + 5 h} h

(2 x^{2} + 9) (1 - x)

\frac{e ^{4 x}}{( 1 + x ) ^{2}}

- \frac{s}{( s + 3 ) ^{2}}

(x^{\frac{1}{2}} - y^{\frac{1}{2}}) (x^{\frac{1}{2}} + y^{\frac{1}{2}})

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

What is expand (x+5h)(e^{y+5h}) ?
The solution to expand (x+5h)(e^{y+5h}) is e^{y+5h}x+5e^{y+5h}h