Question

Factorize of the following algebraic expressions: 6x(2x – y) + 7y(2x – y)

Answer 1

Step-by-step explanation:

(6x+7y)(2x-y)

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Answer 2

Step-by-step explanation:

(Seperated parts in bold)

1. Distribute :-  

  6x(2x-y) + 7y(2x-y)

= 12x² - 6xy + 7y(2x-y)

-------------------------------------

 12x² - 6xy + 7y(2x-y)

= 12x² - 6xy + 14xy- 7y²

2. Combine the like terms :-

  12x²-6xy + 14xy - 7y²

= 12x²+ 8xy + 7y²

And there you have your answer!

= 12x²+ 8xy + 7y²