\underline\frak{ \pink{Question :}} Factorize each of the following algebraic expressions. a) 4 (x + y) (3a – b) + 6 (a + y) (2b – 3a)​

Question

`\underline\frak{ \pink{Question :}}`

Factorize each of the following algebraic expressions.

a) 4 (x + y) (3a – b) + 6 (a + y) (2b – 3a)​

Answer 1

Explanation:

`\space`

We have,

`\longrightarrow \sf{4(x + y) (3a – b) + 6(x + y) (2b – 3a)}`

`\space`

`\: \: \sf{ = x + y) [4(3a – b) + 6(2b – 3a)]}`

`\space`

`\: \: \sf{ = ( x + y) [12a – 4b + 12b – 18a]}`

`\space`

`\: \: \sf{ = (x + y) [-6a + 8b]}`

`\space`

`\: \: \sf{ = (x + y) 2(-3a + 4b)}`

`\space`

`\: \: \sf{ = (x + y) 2(4b – 3a)}`

`\space`

✿ Hope it helps! :)

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