Question

if (a+b)²=1.5 and (a-b)²=0.9 find 2(a²+b²)

Answer 1

Answer:

(a+b)²+(a-b)²=2(a²+b²)

1.5+0.9=2(a²+b²)

2(a²+b²)=2.4

Step-by-step explanation:

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Answer 2

Question

if (a+b)²=1.5 and (a-b)²=0.9 find 2(a²+b²)

Solution

Given:-

• (a+b)² = 1.5 --------------(1)
• (a-b)² = 0.9 -------------(2)

Find:-

• Value of 2(a²+b²)

Explanation

Using Formula

★ (a+b)² = (a²+b²+2ab)

★ (a-b)² = (a²-b²-2ab)

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So, Describe equ(1)

➩ (a²+b²+2ab) = 1.5 -----------(3)

Again, Describe equ(2)

➩(a²-b²-2ab) = 0.9 ----------(4)

Add equ(3) & equ(4)

➩(a²-b²-2ab) + (a²+b²+2ab ) = 1.5 + 0.9

➩(2a² - 2b²) = 2.4

Take common 2 by, L.H.S.

➩ 2(a²-b²) = 2.4

(Ans)

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