any one solve this plz
Answers
Answer:
Q.1. Answer i. ⊃, Answer ii. ⊆ Answer iii. ⊆
Q.2 Answer 2. (16a + 7b - 6c)
Q.11 Answer i. { 1,2,3,4,5,7}, Answer ii. {3, 4}, Answer iii. {3, 4, 5, 6, 7, 8, 1}, Answer iv. {3, 5, 7}
Q.12 Answer i. {b, c, d}, Answer ii. {a, b, c, d, f}, Answer iii. {a, b, c, d, f, g, h}
Solution:-
Q.10. Solution of question(a)
i. 507
(507)^2 = (500 + 7)^2
(a + b)^2 = a^2 + b^2 + 2ab
(500 -7)^2 = (500)^2 + (7)^2 + 2*500*7
=250000 + 49 + 7000
=257,049
ii. 698
(698)^2 = (700 - 2)^2
(700 - 2 )^2 = (700)^2 + (2)^2 - 2 * 700 * 2
=490000 + 4 - 2800
=487,204
Solution of question(b)
i. 198 * 202
198 * 202 = (200 - 2)(200 + 2)
Note.[(a + b)(a - b) = a^2 - b^2 ]
=200^2 - 2^2
=40,000 - 4
= 39,996
ii. 63 * 57
63 * 57 = (60 + 3)(60 - 3)
=(60)^2 - (3)^2
=3600 - 9
=3,591
Q.2) simplify (7a+ 5b - 2c) + (5a + 7b) + (2a - 7c) + (2a - 5b + 3c)
→ (7a + 5b - 2c) + (5a + 7b) + (2a - 7c) + (2a - 5b + 3c)
→ 7a + 5a + 2a + 2a + 5b + 7b - 5b - 2c - 7c + 3c
→ (16a + 7b - 6c)
Q.3) find the product of (y + 5)(y² - 7y + 3)
→ (y + 5)(y² - 7y + 3)
→ y³ - 7y² + 3y + 5y² - 35y + 15
→ y³ - 2y² - 32y + 15
Q.4) sum :-
→ 4a - 2b + 7c + a + 2b - 3c + 5a - 4b + 9c
→ 4a + a + 5a - 2b + 2b - 4b + 7c - 3c + 9c
→ 10a - 4b + 13c
Q.5) (y² - 2y + 4) ÷ (y + 2)
y + 2 ) y² - 2y + 4 ( y - 4
y² + 2y
-4y + 4
-4y - 8
12.
→ Quotient = y - 4
→ Remainder = 12
Square :-
→ (507)² = (500 + 7)² = (500)² + 7² + 2*500*7 = 250000 + 49 + 7000 = 257049
→ (698)² = (700 - 2)² = (700)² + (2)² - 2*700*2 = 490000 + 4 - 2800 = 487204
Product :- (a + b)(a - b) = a² - b²
→ 198 * 202
→ (200 - 2)(200 + 2)
→ (200)² - (2)²
→ 40000 - 4
→ 39996
and,
→ 63 * 57
→ (60 + 3)(60 - 3)
→ 60² - 3²
→ 3600 - 9
→ 3591
Learn more :-
Let a, b and c be non-zero real numbers satisfying (a³)/(b³ + c³) + (b³)/(c³ + a³) + (c³)/(a³ + b³)
https://brainly.in/question/40626097
https://brainly.in/question/20858452
if a²+ab+b²=25
b²+bc+c²=49
c²+ca+a²=64
Then, find the value of
(a+b+c)² - 100 = __
https://brainly.in/question/16231132