What is expand (2rcos(t)+xcos(t))^2 ?

The solution to expand (2rcos(t)+xcos(t))^2 is 4r^2cos^2(t)+4rxcos^2(t)+x^2cos^2(t)

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expand (2rcos(t)+xcos(t))^2

expand

(2 r cos (t) + x cos (t))^{2}

4 r^{2} cos^{2} (t) + 4 r x cos^{2} (t) + x^{2} cos^{2} (t)

Solution steps

(2 r cos (t) + x cos (t))^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 r cos (t) + x cos (t))^{2} = (2 r cos (t))^{2} + 2 \cdot 2 r cos (t) x cos (t) + (x cos (t))^{2}

= (2 r cos (t))^{2} + 2 \cdot 2 r cos (t) x cos (t) + (x cos (t))^{2}

Simplify

(2 r cos (t))^{2} + 2 \cdot 2 r cos (t) x cos (t) + (x cos (t))^{2} : 4 r^{2} cos^{2} (t) + 4 r x cos^{2} (t) + x^{2} cos^{2} (t)

= 4 r^{2} cos^{2} (t) + 4 r x cos^{2} (t) + x^{2} cos^{2} (t)

(6 + 5) {+}

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

c (l - a - b - y)^{2}

e^{x} sec (y) d x + (1 + e^{x}) sec (y) tan (y) d y

What is expand (2rcos(t)+xcos(t))^2 ?
The solution to expand (2rcos(t)+xcos(t))^2 is 4r^2cos^2(t)+4rxcos^2(t)+x^2cos^2(t)