Answer :
Let’s use algebra. starting with x,y, the square of the difference is is =
+
- 2
the square of the sum is
=
+
+ 2
what if we subtract the square of the difference from the square of the sum.
-
= (
+
+ 2
- (
+
- 2
)
-
=
writing this in reverse
=
-
for example, 24= 4
= here x=6 and y=1
= -
= -
= 72 – 52
similarly 24 can also be written as
24 = 43
2
= here x=3 and y=2
= -
= -
= 52 – 12
so 24 =72 – 52= 52 – 12
other multiple of 8,
32 = 92 – 72 = 62 – 22
32 = 48
1
= here x=8 and y=1
= -
= -
= 92 – 72
similarly 32 can also be written as
32 = 44
2
= here x=4 and y=2
= -
= -
32 = 92 – 72 = 62 – 22
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Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I<span lang="EN-US
Kerala Board Mathematics Part I