The expansion for the identity a-b2 is - A- a2-b2B- a2-b2-2 a bC- a 2- b 2-2 ab

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Standard X

Mathematics

Factor of a Polynomial

The expansion...

Question

The expansion for the identity ${(a - b)}^{2}$ is .

a^{2} - b^{2}

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

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

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Solution

The correct option is B $a^{2} + b^{2} - 2 a b$
By simplifying we get-

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

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Similar questions

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}

Q. Which of the following is the correct expansion of

(2 a + b)^{2}

Prove the following identities :

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

$(i i) (a - b)^{2} = a^{2} + b^{2} - 2 a b$ [2 MARKS]

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

The length of common chord of the circles $(x - a)^{2} + y^{2}$ = $a^{2}$ and $x^{2} + (y - b)^{2}$ = $b^{2}$ is

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The expansion for the identity (a–b)2 is .

The correct option is B a2+b2−2abBy simplifying we get- (a−b)2=(a−b)(a−b) =a(a−b)−b(a−b) =a2−ab−ab+b2 =a2−2ab+b2

The expansion for the identity ${(a - b)}^{2}$ is .

The correct option is B $a^{2} + b^{2} - 2 a b$
By simplifying we get-

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