What is expand 2(sin^4(θ)+cos^4(θ))+4sin^2(θ)cos^2(θ) ?

The solution to expand 2(sin^4(θ)+cos^4(θ))+4sin^2(θ)cos^2(θ) is 2

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expand 2(sin^4(θ)+cos^4(θ))+4sin^2(θ)cos^2(θ)

expand

2 (sin^{4} (θ) + cos^{4} (θ)) + 4 sin^{2} (θ) cos^{2} (θ)

2

Solution steps

2 (sin^{4} (θ) + cos^{4} (θ)) + 4 sin^{2} (θ) cos^{2} (θ)

Expand

2 (sin^{4} (θ) + cos^{4} (θ)) : 2 sin^{4} (θ) + 2 cos^{4} (θ)

= 2 sin^{4} (θ) + 2 cos^{4} (θ) + 4 sin^{2} (θ) cos^{2} (θ)

Factor

2 cos^{4} (θ) + 2 sin^{4} (θ) + 4 cos^{2} (θ) sin^{2} (θ) : 2 (sin^{2} (θ) + cos^{2} (θ))^{2}

= (cos^{2} (θ) + sin^{2} (θ))^{2} \cdot 2

Rewrite using trig identities

= 2

(a + x) a - x

(sin (x) - cos (x)) sin (x)

\frac{( x + 3 ) ( x + 5 )}{x + 2}

(x lo g_{10} (x) - x) (\frac{1}{4 x ^{2}} - \frac{x}{4})

What is expand 2(sin^4(θ)+cos^4(θ))+4sin^2(θ)cos^2(θ) ?
The solution to expand 2(sin^4(θ)+cos^4(θ))+4sin^2(θ)cos^2(θ) is 2