Simplify a-b2-2 a b -A- a2-b2-4 a bB- a2-4 a bC- a2-b2-2 a bD- a2-b2

The correct option is D a^2 + b^2We know that, (a + b)^2 = a^2 + b^2 + 2ab nbsp; ⇒ nbsp;(a + b)^2 2ab= nbsp;a^2 + b^2 + 2ab 2ab Grouping the like ter ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identity: (a + b)^2 = a^2 + b^2 + 2ab

Simplify a+b2...

Question

Simplify $(a + b)^{2} - 2 a b$ .

a^{2} - 4 a b

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a^{2} + b^{2} - 2 a b

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a^{2} + b^{2}

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a^{2} + b^{2} - 4 a b

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Solution

The correct option is C $a^{2} + b^{2}$
We know that,
$(a + b)^{2} = a^{2} + b^{2} + 2 a b$
$\Rightarrow$ $(a + b)^{2} - 2 a b = a^{2} + b^{2} + 2 a b - 2 a b$
Grouping the like terms,
$= a^{2} + b^{2} + (2 a b - 2 a b)$
$= a^{2} + b^{2}$

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c o s (i l o g \frac{a - i b}{a + i b})

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Simplify (a+b)2−2ab.

The correct option is C a2+b2We know that, (a+b)2=a2+b2+2ab ⇒ (a+b)2−2ab=a2+b2+2ab−2ab Grouping the like terms, =a2+b2+(2ab−2ab) =a2+b2

Simplify $(a + b)^{2} - 2 a b$ .

The correct option is C $a^{2} + b^{2}$
We know that,
$(a + b)^{2} = a^{2} + b^{2} + 2 a b$
$\Rightarrow$ $(a + b)^{2} - 2 a b = a^{2} + b^{2} + 2 a b - 2 a b$
Grouping the like terms,
$= a^{2} + b^{2} + (2 a b - 2 a b)$
$= a^{2} + b^{2}$