If $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ then what is the value of $a^{2} + b^{2}$

$a^{2} + b^{2} = (a + b)^{2} + 2 a b$

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$a^{2} + b^{2} = (a + b)^{2} - 2 a b$

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$a^{2} + b^{2} = (a - b)^{2} - 2 a b$

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$a^{2} + b^{2} = 3 (a + b)^{2}$

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Solution

The correct option is B
$a^{2} + b^{2} = (a + b)^{2} - 2 a b$

We know that,

$(a + b)^{2} = a^{2} + 2 a b + b^{2}$

$\Rightarrow a^{2} + b^{2} = (a + b)^{2} - 2 a b$

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Similar questions

Q. If

\frac{a^{2} + 2 a b + b^{2}}{a^{2} - b^{2}} = 2 a + 2 b

, what is the value of

a - b

Q. Evaluate:

\sqrt{\frac{a^{2} + 2 a b + b^{2}}{a^{2} - 2 a b + b^{2}}}

Which of the following is correct?
a) $(a - b)^{2} = a^{2} + 2 a b - b^{2}$
b) $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
c) $(a - b)^{2} = a^{2} - b^{2}$
d) $(a + b)^{2} = a^{2} + 2 a b - b^{2}$

Q. If

sin α = \frac{a^{2} - b^{2}}{a^{2} + b^{2}}

then prove that

cot α = \frac{2 a b}{a^{2} - b^{2}}

Q. Question 3

Which of the following is correct?
a)

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

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

(a - b)^{2} = a^{2} - b^{2}

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

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If (a+b)2=a2+2ab+b2 then what is the value of a2+b2

The correct option is B a2+b2=(a+b)2−2ab We know that, (a+b)2=a2+2ab+b2 ⇒a2+b2=(a+b)2−2ab

If $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ then what is the value of $a^{2} + b^{2}$

The correct option is B
$a^{2} + b^{2} = (a + b)^{2} - 2 a b$

We know that,

$(a + b)^{2} = a^{2} + 2 a b + b^{2}$

$\Rightarrow a^{2} + b^{2} = (a + b)^{2} - 2 a b$