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Operations on Algebraic Expressions — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSOperations on Algebraic Expressions1 Mark
MCQ
Assertion (A): $\left(x^6-1\right)\left(x^6+1\right)=x^{12}-1$.
Reason (R) : $(a-b)(a+b)=a^2-b^2$
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
✓

Answer

Correct option: A.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
$\left(x^6-1\right)\left(x^6+1\right)=\left(x^6\right)^2-1^2=\left(x^{12}-1\right) \quad\left[\because \quad(a-b)(a+b)=a^2-b^2\right]$

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