Question

Factorise:

( a²- 1) ( b²- 1) + 4ab
pls give a detailed explanation
pls answer it......
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Answer 1

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

`\boxed{ a^2 b^2 + -a^2 + -b^2 + 1 + 4ab}`

Let's simplify step-by-step.

`( a^2 - 1 ) ( b^2 -1) + 4ab`

Distribute:

`=( a^2) (b^2) + (a^2) (-1) + ( -1) (b^2) + (-1) (-1) + 4ab`

`= a^2 b^2 + -a^2 + -b^2 + 1 + 4ab`

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer 2

a²b² - a² - b² + 4ab + 1

Explanation:

( a²- 1) ( b²- 1) + 4ab

(a²b² - a² - b² + 1) + 4ab

a²b² - a² - b² + 4ab + 1