Question

using the properties of squares, find the following products:
1)32×34
2)15×16
3)99×101
4)1000×1002

please show steps ​

Answer 1

Answer:

1088

Step-by-step explanation:

= 32×34

=(33-1)×(33+1)

=33^-1^

=1089-1

=1088

Answer 2

Answer:

Given :-

1) 32 × 34

➞ (33 - 1) × (33 + 1)

➞ (33)² - (1)²

➞ 1089 - 1

➞ 1088

∴ The answer of this question is 1088

Correct question :-

2) 14 × 16

➞ (15 - 1) × (15 + 1)

➞ (15)² - (1)²

➞ 225 - 1

➞ 224

∴ The answer of this question is 224

3) 99 × 101

➞ (100 - 1) × (100 + 1)

➞ (100)² - (1)²

➞ 10000 - 1

➞ 9999

∴ The answer of this question is 9999

4) 1000 × 1002

➞ (1001 - 1) × (1001 + 1)

➞ (1001)² - (1)²

➞ 1002001 - 1

➞ 1002000

∴ The answer of this question is 1002000

Formula used :-

➔ a² - b²

➙ (a + b) (a - b)