Question

If a+b= 25 and a²+ b²= 11 .Find the value of a.b.​

Answer 1

$\huge{ \boxed{ \fcolorbox{cyan}{pink}{Answer}}}$

Algebraic Identity to be used.

⌲ (a + b)² = a² + 2ab + b²

Let's solve this sum using given identity.

$\bold \red{ : \implies {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab}$

$\bold \blue{ : \implies {(25)}^{2} = 11 + 2ab}$

$\bold \red{ : \implies 625 = 11 + 2ab}$

$\bold \blue{ : \implies 2ab = 625 - 11 }$

$\bold \red{ : \implies 2ab = 614}$

$\boxed {\bold \orange{ : \leadsto \: ab = 307}}$

$\boxed{ \fcolorbox{cyan}{pink}{\boxed {\bold \orange{ : \leadsto \: ab = 307}}}}$

Answer 2

Answer:

ab=307

Step-by-step explanation:

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