Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
3.5k views
in Algebraic Formulae – Expansion of Squares by (47.6k points)
closed by

Expand:

i. (5a + 6b)2

ii. (a/2 + b/3)2

iii. (2p - 3q)2

iv. (x - 2/x)2

1 Answer

+1 vote
by (46.9k points)
selected by
 
Best answer

i. (5a + 6b)2

Here, A = 5a and B = 6b 

(5a + 6b)2 = (5a)2 + 2 × 5a × 6b + (6b)2 …. [(A + B)2 = A2 + 2AB + B2

∴ (5a + 6b)2 = 25a2 + 60ab + 36b2

ii. (a/2 + b/2)2

Here A = a/2 and B = b/3

(a/2 + b/3)2 = (a/2)2 + 2 x a/2 x b/3 + (b/3)...[(A + B) = A2 + 2AB + B2]

∴ (a/2 + b/3)2 = a2/4 + ab/3 + b2/9

iii. (2p – 3q)2

Here, a = 2p and b = 3q 

(2p – 3q)2 = (2p)2 – 2 × (2p) × (3q) + (3q)2 …. [(a – b)2 = a2 – 2ab + b2

∴ (2p – 3q)2 = 4p2 – 12pq + 9q2

iv. (x - 2/x)2

Here a = x and b = 2/x

(x - 2/x)2 = x2 - 2 x (x) x 2/x + (2/x)...[(a - b)2 = a- 2ab + b2]

(x - 2/x)2 = x2 - 4 + 4/x2

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...