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(a + b)^2 + (a- b)^2 = …....

`(a + b)^2 + (a- b)^2 = ….`

Text Solution

Verified by Experts

The correct Answer is:
`2(a^2 +b^2)`
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Find the value of ( a + b )^2 - 2 ( a - b )^2 + ( a - b ) ( a + b )

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(a+2b)^2-(a-2b)^2 is equal to: (a+2b)^2-(a-2b)^2 का मान है :

If 2(a^(2) + b^(2)) = (a+b)^(2) then .

Verify that (a ^(2) - b ^(2)) (a ^(2) + b ^(2)) + (b ^(2) - c ^(2)) (b ^(2) + c ^(2)) + (c ^(2)-a ^(2)) + (c ^(2) + a ^(2)) = 0

Show that (a - b)^(2), (a^(2) + b^(2)) " and " (a + b)^(2) are in AP.

(a -b) ^(2) /(a ^(2) -b ^(2) = ?

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

Knowledge Check

  • If (a + b) ^(2) + a ^(2) + b ^(2) + + 2b = 2 ab + 2a, then the value of a is

    A
    7
    B
    6
    C
    `3.5`
    D
    `2.5`

  • If 2(a^(2) + b^(2)) = (a+b)^(2) then .

    A
    (A) `a=b`
    B
    (B) `b=2a`
    C
    (C) `a= 2b`
    D
    (D) `a=-b`