Question 19

If $$5\sqrt{5}x^3 + 2\sqrt{2}y^3 = (Ax + \sqrt{2}y)(Bx^2 + 2y^2 + Cxy)$$, then the value of $$(A^2 + B^2 - C^2 )$$ is:

Solution

$$5\sqrt{5}x^3 + 2\sqrt{2}y^3 = (Ax + \sqrt{2}y)(Bx^2 + 2y^2 + Cxy)$$
$$(\sqrt{5}x + \sqrt{2}y)(5x^2 + 2y^2 + \sqrt{10}xy) = (Ax + \sqrt{2}y)(Bx^2 + 2y^2 + Cxy)$$
On comparing,
A = $$\sqrt{5}$$
B = 5
C = $$\sqrt{10}$$
$$(A^2 + B^2 - C^2 )$$
= $$((\sqrt{5})^2 + 5^2 - (\sqrt{10})^2 )$$
= 5 + 25 - 10 = 20

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 Remainders Questions CAT Mensuration Questions CAT Time And Work Questions CAT Probability, Combinatorics Questions CAT Percentages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based LR Questions CAT Table with Missing values Questions CAT Scheduling Questions CAT Data Interpretation Basics Questions CAT DI Miscellaneous Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Grammar and Sentence Correction Questions CAT Verbal Ability Questions CAT Reading Comprehension Questions CAT Vocabulary Questions

SSC CGL Tier-2 13th September 2019 Maths

If $$5\sqrt{5}x^3 + 2\sqrt{2}y^3 = (Ax + \sqrt{2}y)(Bx^2 + 2y^2 + Cxy)$$, then the value of $$(A^2 + B^2 - C^2 )$$ is:

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account