Factorise-a2-b2-2 b a-2 b c-2 c a

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Polynomials

Factorise:a2+...

Question

Factorise:

a²+b²-2ba+2bc-2ca

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Solution

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Factorise:
$a^{2} - b^{2} + 2 b c - c^{2}$

△ A B C

cos A = \frac{b^{2} + c^{2} - a^{2}}{2 b c}

cos B = \frac{c^{2} + a^{2} - b^{2}}{2 c a}, cos C = \frac{a^{2} + b^{2} - c^{2}}{2 a b}

a^{2} + b^{2} + 4 c^{2} + 2 (a b + 2 b c + 2 c a)

(a + b + 2 c)

△ A B C, a : b : c = cos A : cos B : cos C

△ A B C

cos A = \frac{b^{2} + c^{2} - a^{2}}{2 b c}

cos B = \frac{c^{2} + a^{2} - b^{2}}{2 c a}

cos C = \frac{a^{2} + b^{2} - c^{2}}{2 a b}

(a - b + c)^{2}

a^{2} + b^{2} + c^{2} - 2 a b - 2 b c + 2 c a

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