Question

fill in the blanks
44×_=45²-1​

Answer 1

Answer:

Answer is 46...

Step-by-step explanation:

First of all,

(45×45)-1 =2025-1=2024

2024÷44=46...

Answer is 46.

Answer 2

Step-by-step explanation:

$\green{ \underline{ \sf \: GIVEN}}$

$\sf \: 44 \times ...... = {45}^{2} - 1$

$\green{ \underline{ \sf \:SOLUTION }}$

$\sf \: we \: know \: the\: identity \: \: \: \: \: \: \: \: \\ \sf \: {x}^{2} - {y}^{2} = (x + y)(x - y)$

$\sf \star\: Here \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \: \: \: {45}^{2} - 1 \\ = \sf {45}^{2} - {1}^{2} \\ \sf = (45 + 1)(45 - 1) \\ = 46 \times 44$

$\green{ \boxed{ \sf \: 44 \times \underline{46} = {45}^{2} - 1}}$