Question

All of these are algebra sums so plz solve with all the steps and identities........and plz don't spam

Answer 1

Answer:

1. 498436
2. 980100
3. 253506
4. 359831
5. 60600

Answer 2

Answer:

$5) \: \: \: {706}^{2} = (700 + 6) ^{2} \\ by \: using \: (x + y) ^{2} = {x}^{2} + {y}^{2} + 2xy \\ \\ here \: x \: = 700 \\ y = 6 \\ \\ = {700}^{2} + {6}^{2} + 2 \times 700 \times 6 \\ \\ = 490000 + 36 + 8400 \\ \\ = 498436 \\ \\ \\ 6) \: \: \: {(989)}^{2} = (990 - 1)^{2} \\ \\ by \: using \: (x - y) ^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ here \: x = 990 \\ y = 1 \\ \\ = {(990)}^{2} + {1}^{2} - 2 \times 990 \times 1 \\ \\ = 980100 + 1 - 1980 \\ \\ = 978121 \\ \\ \\ 8) \: \: \: (613)(587) = (600 + 13)(600 - 13) \\ by \: using \: (x + y)(x - y) = {x}^{2} - {y}^{2} \\ \\ here \: x = 600 \\ y = 13 \\ \\ = {600}^{2} - {13}^{2} \\ \\ = 360000 - 169 \\ \\ = 359831 \\ \\ \\ 9) \: \: \: {251}^{2} - {49}^{2} \\ by \: using \: {x}^{2} - {y}^{2} = (x + y)( x - y) \\ \\ here \: x = \: 251 \\ y = 49 \\ \\ = (251 + 49)(251 - 49) \\ \\ = 300 \times 202 \\ \\ = 60600$

THEIR IS SOMETHING WRONG IN THE 7 TH SUM