Question 72

The value of $$27a^3 - 2\sqrt{2}b^3$$ is equal to:

Solution

$$27a^3 - 2\sqrt{2}b^3 = (3a - \sqrt{2}b)(9a^2 + 2b^2 + 6\sqrt{2}ab)$$

($$\because a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$)

here,

a = 3a

b = $$\sqrt{2}b$$

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Venn Diagrams Questions CAT Algebra Questions CAT Progressions and Series Questions CAT Remainders Questions CAT Profit, Loss and Interest Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data Interpretation Questions CAT Data Interpretation Basics Questions CAT Data change over a period Questions CAT Miscellaneous LR Questions CAT Charts Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Grammar and Sentence Correction Questions CAT Vocabulary Questions CAT Miscellaneous Questions CAT Reading Comprehension Questions CAT Odd One Out Questions

Follow us on

Boost your Prep!

Download App