Question

factorise X ^2+( a + b + c ) X + a b + bc​

Answer 1

Question : ${x}^{2} + (a + b + c)x + ab + bc$

Soln. : ${x}^{2} + ax + bx + cx + ab + bc$
= $({x}^{2} + ax + cx) + (bx + ab + bc)$
= $x(x + a + b) + b(x + a + b)$
= $(x + a + b)(x + b)$

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