Question

Find ab, if a+b=25 and a2 + b2 = 225
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Answer 1

Answer:

200

Step-by-step explanation:

Given, a+b=25 and a  

2

+b  

2

=225

We know that, (a+b)  

2

=a  

2

+b  

2

+2ab   ... (i)

By putting the given values in equation (i),

(25)  

2

=225+2ab

625=225+2ab

625—225=2ab

400=2ab

400÷2=ab

200=ab

So, the value of ab is 200.