Fill in the blanks to make the statement true:1032 – 1022 = …�

1.	Fill in the blanks to make the statement true:1032 – 1022 = ………….. × (103 – 102) = ……… .
Answer» (103 + 102), 205 103² – 102² is of the form a² – b². Comparing the two we get, a = 103 and b = 102. We have a² - b² = (a + b)(a - b). So, 103² – 102² = (103 + 102)(103 - 102) = (205)(1) = 205×1 = 205

Fill in the blanks to make the statement true:1032 – 1022 = ………….. × (103 – 102) = ……… .

Answer»

(103 + 102), 205

103² – 102² is of the form a² – b². Comparing the two we get, a = 103 and b = 102.

We have a² - b² = (a + b)(a - b).

So, 103² – 102² = (103 + 102)(103 - 102)

= (205)(1)

= 205×1

= 205