Question

Formula of a square minus b square​

Answer 1

According to the question

`\large\bf{\orange{ \implies}} \: \tt \: {a}^(2) \: - \: {b}^(2)`

`\large\bf{\pink{ \implies}} \: \tt \: (a + b) \quad \: (a - b)`

`\large\bf{\pink{ \implies}} \: \tt \: a \: (a - b) \quad \: b \: (a - b)`

`\large\bf{\pink{ \implies}} \: \tt \: {a}^(2) \: - \: ab \: + \: ba \: - \: {b}^(2)`

`\large\bf{\pink{ \implies}} \: \tt \: {a}^(2) \: - \: ab \: + \: ab \: - \: {b}^(2)`

`\large\bf{\pink{ \implies}} \: \tt \: {a}^(2) \: - \: \cancel{ab} \: + \: \cancel{ab} \: - \: {b}^(2)`

`\large\bf{\pink{ \implies}} \: \tt \: {a}^(2) \: - \: {b}^(2)`

Answer 2

(a+b)(a-b)

Explanation:

`\\ \sf\longmapsto (a+b)(a-b)`

`\\ \sf\longmapsto a(a-b)+b(a-b)`

`\\ \sf\longmapsto a^2-ab+ba-b^2`

`\\ \sf\longmapsto a^2-ab+ab-b^2`

`\\ \sf\longmapsto a^2-b^2`