What is expand (ax^2+bx)(dcos(x)+esin(x)) ?

The solution to expand (ax^2+bx)(dcos(x)+esin(x)) is adx^2cos(x)+eax^2sin(x)+bdxcos(x)+ebxsin(x)

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expand (ax^2+bx)(dcos(x)+esin(x))

expand

(a x^{2} + b x) (d cos (x) + e sin (x))

a d x^{2} cos (x) + e a x^{2} sin (x) + b d x cos (x) + e b x sin (x)

Solution steps

(a x^{2} + b x) (d cos (x) + e sin (x))

Apply FOIL method:

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

a = a x^{2}, b = b x, c = d cos (x), d = e sin (x)

= a x^{2} d cos (x) + a x^{2} e sin (x) + b x d cos (x) + b x e sin (x)

= a d x^{2} cos (x) + e a x^{2} sin (x) + b d x cos (x) + e b x sin (x)

\frac{x ^{2} + 20 x + 1}{( x + 1 ) ^{2}}

4 e^{x} (e^{2 x} - e^{x})

l im x \Rightarrow 2 (3 x^{2} - 5 x + 2)

- \frac{( m + n ) ^{2}}{4}

\frac{( r x H - x q y ) H}{G}

What is expand (ax^2+bx)(dcos(x)+esin(x)) ?
The solution to expand (ax^2+bx)(dcos(x)+esin(x)) is adx^2cos(x)+eax^2sin(x)+bdxcos(x)+ebxsin(x)