Question

in Find the value of
a) 8 ab (a^2 +b²) when (a+b) =√5 and (a - b)=√3​

Answer 1

Answer:

Step-by-step explanation:

a+b=5………………..(1)

a-b=1…………………..(2)

4a.b=(a+b)^2-(a-b)^2

4ab=(5)^2-(1)^2

4ab=24…………………..(3)

2(a^2+b^2)=(a+b)^2+(a-b)^2

2(a^2+b^2)=(5)^2+(1)^2

2(a^2+b^2)=26……………….(4)

Multiply eq.(3) & (4)

8ab.(a^2+b^2)=24×26

8ab.(a^2+b^2)=624 , proved.

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