Statement-1 (A): a^3+3 8 a x+1 64 x^3-1 8 = (a+x 4 -1 2 ) (a^2+x^… - Vidyadip

MCQ

Statement-1 (A): $a^3+\frac{3}{8} a x+\frac{1}{64} x^3-\frac{1}{8}=\left(a+\frac{x}{4}-\frac{1}{2}\right)\left(a^2+\frac{x^2}{16}+\frac{1}{4}-\frac{a x}{4}+\frac{x}{8}+\frac{a}{2}\right)$
Statement-2 (R): $a^3+b^3+c^3+3 a b c=(a+b+c)\left(a^2+b^2+c^2+a b+b c+c a\right)$

A
Statement- 1 is true, Statement-2 is true; Statement- 2 is a correct explanation for Statement- 1.
B
Statement- 1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
✓
Statement-1 is true, Statement-2 is false.
D
Statement- 1 is false, Statement- 2 is true.

✓

Answer

Correct option: C.

Statement-1 is true, Statement-2 is false.

c

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