Choose the correct option for the given equation.
$(a + b)^{2} = a^{2} + 2 a b + b^{2}$

The equation is true for all the values of a and b.

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The equation is true for all the values of a but only few values of b.

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The equation is true for all the values of b but only few values of a.

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The equation is not true for all the values of a and b.

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Solution

The correct option is A The equation is true for all the values of a and b.
Since the given equation,
$(a + b)^{2} = a^{2} + 2 a b + b^{2}$
is an identity.

So, the given equation is true for all the values of a and b.

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Similar questions

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. 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. Evaluate:

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

Solve:

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

Q. What is the expansion for the identity

{(a - b)}^{2}

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Choose the correct option for the given equation. (a+b)2=a2+2ab+b2

The correct option is A The equation is true for all the values of a and b.Since the given equation, (a+b)2=a2+2ab+b2 is an identity. So, the given equation is true for all the values of a and b.

Choose the correct option for the given equation.
$(a + b)^{2} = a^{2} + 2 a b + b^{2}$

The correct option is A The equation is true for all the values of a and b.
Since the given equation,
$(a + b)^{2} = a^{2} + 2 a b + b^{2}$
is an identity.

So, the given equation is true for all the values of a and b.