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\(cot^2a-cos^2a=\frac{cos^2a}{sin^2a}-cos^2a\)

=\(\frac{cos^2a-cos^2a\times sin^2a}{sin^2a}\)

=\(\frac{cos^2a\left\{1-sin^2a\right\}}{sin^2a}\)

=\(\frac{cos^2a\times cos^2a}{sin^2a}\)

=\(cot^2a\times cos^2a\)

2(x+2)(x-2)+ (x-5)²

= 2(x² - 2²) + ( x² - 10x + 25)

= 2x² - 8 + x² - 10 + 25

= 3x² - 10x + 17

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