Question

please explain the answer so that I can understand​

Answer 1

Step-by-step explanation:

this is the 1st one dear 2nd one i dont kno sorry dear.

hope it helped u underatand ..

help anytime

Answer 2

Answer:

(i) $6^{2}$

(ii) $42^{2} , 43^{2}$

Step-by-step explanation:

You have to use the given relation to find out the missing number in the blank.

The relation is given as

$a^{2} + b^{2} + (ab )^{2} = (ab+1)^{2}$

this means that the sum of the squares of two number + square of product of the numbers is equal to the square of (product of the two number+1).

Hence using this relation we can find the number at the blank.

(i) $5^{2} +$ ___ $+ 30^{2}$ = $31^{2}$

L.H.S =   ab=30

              a=5

              b=30/5 = 6

R.H.S = $(30+1)^{2}$

hence the blank space is $6^{2}$

i.e   $5^{2} + 6^{2} + (30)^{2} = (31)^{2}$

(ii) similarly

$6^{2} + 7^{2}$ + ___ = ____

using this $a^{2} + b^{2} + (ab )^{2} = (ab+1)^{2}$

ab= 6*7 = 42

ab+1 = 42

put these two in the equation

$6^{2} + 7^{2} + (42)^{2} = (43)^{2}$

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