Question

factorise the following question:
x square +6x-55

Answer 1

xsq+6x-55
=xsq+11x-5x-55
=x(x+11)-5(x+11)
=(x-5)(x+11)

Answer 2

x² + 6x - 55 = ( x + 11 ) ( x - 5 )

Given : x² + 6x - 55

To find : To factorise

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is x² + 6x - 55

Step 2 of 2 :

Factorise the expression

$\sf {x}^{2} + 6x - 55$

$\sf = {x}^{2} + (11 - 5)x - 55$

$\sf = {x}^{2} + 11x - 5x - 55$

$\sf = x(x + 11) - 5(x + 11)$

$\sf = (x + 11) (x - 5)$

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