In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: $(10 + 4)^{3}$ = 2744.
Reason: $(x + y)^{3}$ = $x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}$ .

Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

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Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

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Assertion (A) is false, but reason (R) is true.

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Assertion (A) is true, but reason (R) is false.

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Solution

The correct option is B
Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

Ans: Assertion (A) $(10 + 4)^{3}$ = 2744 is correct by applying the formula $(x + y)^{3}$ = $x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}$ that's why option (A) is correct.

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Similar questions

Question 59 (a)

What should be added to $x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3}$ to get $x^{3} + y^{3} ?$

The expansion of ${(x + y)}^{3}$ is $x^{3} + y^{3} + 3 x^{2} y - 3 x y^{2}$

The expansion of ${(x + y)}^{3}$ is

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: Two equilateral triangles are always similar.
Reason: AAA Similarity Criterion.

Q. In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion(A): If the LCM of two integers 26 and 91 is 182, then HCF(26, 91) = 13.

Reason(R): LCM x [ Product of two integers ] = HCF.

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In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice: Assertion: (10+4)3 = 2744. Reason: (x+y)3 = x3+y3+3x2y+3xy2.

The correct option is B Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A). Ans: Assertion (A) (10+4)3 = 2744 is correct by applying the formula (x+y)3 = x3+y3+3x2y+3xy2 that's why option (A) is correct.

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: $(10 + 4)^{3}$ = 2744.
Reason: $(x + y)^{3}$ = $x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}$ .

The correct option is B
Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

Ans: Assertion (A) $(10 + 4)^{3}$ = 2744 is correct by applying the formula $(x + y)^{3}$ = $x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}$ that's why option (A) is correct.