If nbsp- -x-a-x-b- - x-2 - 5x - 6- -what is the value of -a-b- if nbsp- -a - b- gt- 0-2134

The correct option is B 1We know that, (x+a)(x+b) nbsp; nbsp;= x^2 + (5)x + (6) nbsp; By splitting the middle term, x^2 + (5)x + (6) such that, the ...

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Byju's Answer

Standard IX

Mathematics

Identity (x+a)(x+b)

If nbsp; (x...

Question

$If (x + a) (x + b) = x^{2} + 5 x + 6, what is the value of (a - b) if (a - b) > 0 ?$

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Solution

The correct option is B 1
$We know that, (x + a) (x + b) = x^{2} + (5) x + (6)$

$By splitting the middle term, x^{2} + (5) x + (6) such that, the product is equal to 6 and sum or difference is equal to +5.$

$Hence, x^{2} + 5 x + 6 = x^{2} + 3 x + 2 x + 6$

$Taking out the common factor, \Rightarrow x (x + 3) + 2 (x + 3) \Rightarrow (x + 3) (x + 2)$

$Comparing to (x + a) (x + b) and also given that (a - b) > 0 .$

$Hence a = 3 and b = 2$
$∴ a - b = 1$

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If (x+a)(x+b)=x2+5x+6,what is the value of (a−b) if (a−b)>0?

$If (x + a) (x + b) = x^{2} + 5 x + 6, what is the value of (a - b) if (a - b) > 0 ?$