Using the formula (a-b)^2=(a^2-2ab+b^2),evaluate :
(i)(196)^2 (ii)(689)^2
Answers
Given: The terms (i)(196)^2 (ii)(689)^2
To find: Evaluate using the given formula.
Solution:
- Now we have given the formula as:
(a-b)^2=(a^2-2ab+b^2)
- (I) (196)^2
It can be written as:
(200 - 4)^2
Expanding it, we get:
200^2 + 4^2 - 2(200)(4)
40000 + 8 - 1600
38408
- (II) (689)^2
It can be written as:
(700 - 11)^2
Expanding it, we get:
490000 + 121 - 15400
474721
Answer:
So using the given formula that answers are 38408 and 474721.
Answer:
(196)2=(200−4)2
=(200)2−2(200×4)+42
=40000−1600+16=38416
(ii) (689)2=(700−11)2
= (700)2−2(700×11)+112
=490000−15400+121=474721
Step-by-step explanation:
196)2=(200−4)2
=(200)2−2(200×4)+42
=40000−1600+16=38416
(ii) (689)2=(700−11)2
= (700)2−2(700×11)+112
=490000−15400+121=474721