Factorise 40-10x-x^2
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Solution:
Given Quadratic expression
40-10x-x²
= 40-(10x+x²)
= 40-(-25+25+10x+x²)
= 40+25-(5²+2*5*x+x²)
= 65 - (5+x)²
= (√65)² - (5+x)²
= (√65+5+x)[√65 -(5+x)]
= (√65+5+x)(√65-5-x)
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