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
747 views
in Algebra by (38.0k points)
closed by

Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 ×25

(ii) 322 × 322 – 2 × 322 × 22 + 22 × 22

(iii) 0.76 × 0.76 + 2 × 0.76 × 0.24 + 0.24 × 0.24

(iv) \(\frac{7.83 \times 7.83-1.17\times 1.17}{6.66}\)

1 Answer

+1 vote
by (36.4k points)
selected by
 
Best answer

(i) We know, (a+b)2 = a2 + b2 +2ab

Here,

a = 175 and b = 25

(175 x 175) + (2 x 175 x 25) + (25 x 25)

= (175 + 25)2 = (200)2 = 40000

(ii) We know, (a+b)2 = a2 + b2 -2ab

Here,

a = 322 and b = 22

(322 x 322) - (2 x 32 x 22) + (22 x 22)

= (322 - 22)2 = (300)2 = 90000

(iii) We know, (a+b)2 = a2 + b2 +2ab

Here,

a = 0.76 and b = 0.24

= (0.76 x 0.76) + (2 x 0.76 x 0.24) + (0.24 x 0.24)

= (0.76 + 0.24)2 = (1)2 = 1

(iv) We know, (a - b)2 = (a - b)(a + b)

Here,

a = 7.83 and b = 1.17

= 9

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.

...