Question

Factorise 40-10x-x^2​

Answer 1

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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