What is expand (1+5cos(t))^2 ?

The solution to expand (1+5cos(t))^2 is 1+10cos(t)+25cos^2(t)

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expand (1+5cos(t))^2

expand

(1 + 5 cos (t))^{2}

1 + 10 cos (t) + 25 cos^{2} (t)

Solution steps

(1 + 5 cos (t))^{2}

Apply Perfect Square Formula:

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

(1 + 5 cos (t))^{2} = 1^{2} + 2 \cdot 1 \cdot 5 cos (t) + (5 cos (t))^{2}

= 1^{2} + 2 \cdot 1 \cdot 5 cos (t) + (5 cos (t))^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 5 cos (t) + (5 cos (t))^{2} : 1 + 10 cos (t) + 25 cos^{2} (t)

= 1 + 10 cos (t) + 25 cos^{2} (t)

l im x \Rightarrow 4 (3 f (x) - g (x))

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

(5 x^{2} - 2 \cdot x^{2} - 1) x^{'}

\frac{( 0.5 s + 1 )}{( s + 1 ) ( 0.3 s + 1 )}

\frac{2 \cdot s}{( ( 1 + 0.5 \cdot s ) \cdot ( 1 + 0.125 \cdot s ) ^{2} )}

What is expand (1+5cos(t))^2 ?
The solution to expand (1+5cos(t))^2 is 1+10cos(t)+25cos^2(t)