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Mathematics 20 Online
OpenStudy (hawkfalcon):

factoring question

OpenStudy (hawkfalcon):

\[5\cos^2x-5\sin^2x+cosx+sinx\]

OpenStudy (anonymous):

I think you should use the quadratic formula

OpenStudy (hawkfalcon):

I have to factor it :P

OpenStudy (anonymous):

oh sorry

OpenStudy (hawkfalcon):

Its okay:3 Anyone?

OpenStudy (hawkfalcon):

:(

OpenStudy (hawkfalcon):

*crosses fingers*

OpenStudy (anonymous):

\[5 \cdot \cos^{2}x-5 \cdot \sin^{2}x +sinx+cosx=5\cdot(cosx+sinx)(cosx-sinx)+(sinx+cosx)\] and now \[5 \cdot \cos^{2}x-5 \cdot \sin^{2}x +sinx+cosx=5\cdot(sinx+cosx)(cosx-sinx +1)\]

OpenStudy (hawkfalcon):

o.O Okay

OpenStudy (anonymous):

if this is confusing, put \(a=\cos(x)\) and \(b=\sin(x)\) and factor \[5a^2-5b^2+a+b\]

OpenStudy (hawkfalcon):

That makes sense

OpenStudy (anonymous):

it has nothing whatsoever to do with trig, but the all those trig functions will tend to confuse

OpenStudy (anonymous):

\[5a^2-5b^2+a+b=5(a+b)(a-b)+a+b=(5(a-b)+1)(a+b)\]

OpenStudy (hawkfalcon):

:D figured it out! I can do "5a2−5b2+a+b" :P

OpenStudy (hawkfalcon):

Thanks :)

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