What is expand (4cos(t)+2sin(t))(-2sin(t)-3cos(t)) ?

The solution to expand (4cos(t)+2sin(t))(-2sin(t)-3cos(t)) is -14cos(t)sin(t)-12cos^2(t)-4sin^2(t)

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expand (4cos(t)+2sin(t))(-2sin(t)-3cos(t))

expand

(4 cos (t) + 2 sin (t)) (- 2 sin (t) - 3 cos (t))

- 14 cos (t) sin (t) - 12 cos^{2} (t) - 4 sin^{2} (t)

Solution steps

(4 cos (t) + 2 sin (t)) (- 2 sin (t) - 3 cos (t))

Apply FOIL method

(4 cos (t) + 2 sin (t)) (- 2 sin (t) - 3 cos (t)) : - 14 cos (t) sin (t) - 12 cos^{2} (t) - 4 sin^{2} (t)

= - 14 cos (t) sin (t) - 12 cos^{2} (t) - 4 sin^{2} (t)

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

π (- \frac{2624 2}{21} - 48)

\frac{2 X ^{3}}{( X ^{2} + 1 ) ^{2}}

(1 + y i)^{2}

What is expand (4cos(t)+2sin(t))(-2sin(t)-3cos(t)) ?
The solution to expand (4cos(t)+2sin(t))(-2sin(t)-3cos(t)) is -14cos(t)sin(t)-12cos^2(t)-4sin^2(t)