Answer:
1) 10201
2) 5184
Step-by-step explanation:
distributive law means A(B+C) can also be written as A×B+A×C
1) 101 can be written as (100 + 1)
Square of 101 = (100 + 1)²
Using distributive law,
(100 + 1)² = (100 + 1) (100 + 1)
= 100(100 + 1) + 1(100 + 1)
= 100(101) + 101
= 10100 + 101
= 10201
Therefore, 101² = 10201.
2) 72 can be written as (70 + 2)
Square of 72 = (70 + 2)²
(70 + 2)² = (70 + 2) (70 + 2)
= 70(70 + 2) + 2(70 + 2)
= 70(72) + 2(72)
= 5040 + 144
= 5184
A) 101
= 101 (100+1)
= 10100+101
=10201
B) 72
= 72 (70+2)
= 5040+144
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Answers & Comments
Answer:
1) 10201
2) 5184
Step-by-step explanation:
distributive law means A(B+C) can also be written as A×B+A×C
1) 101 can be written as (100 + 1)
Square of 101 = (100 + 1)²
Using distributive law,
(100 + 1)² = (100 + 1) (100 + 1)
= 100(100 + 1) + 1(100 + 1)
= 100(101) + 101
= 10100 + 101
= 10201
Therefore, 101² = 10201.
2) 72 can be written as (70 + 2)
Square of 72 = (70 + 2)²
Using distributive law,
(70 + 2)² = (70 + 2) (70 + 2)
= 70(70 + 2) + 2(70 + 2)
= 70(72) + 2(72)
= 5040 + 144
= 5184
Verified answer
A) 101
= 101 (100+1)
= 10100+101
=10201
B) 72
= 72 (70+2)
= 5040+144
= 5184