x^2+16x-116 factorise
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Solution:
Given Quadratic expression :
x²+16x-116
/* Add and subtract 8², we get
= x²+2*x*8+8²-8²-116
= (x²+2*x*8+8²)-64-116
= (x+8)²-180
= (x+8)²-(36×5)
= (x+8)²-(6√5)²
= (x+8+6√5)(x+8-6√5)
/* a²-b² = (a+b)(a-b) */
Therefore,
x²+16x-116
=(x+8+6√5)(x+8-6√5)
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