Question

(2r-3s)^2-7 (2r-3s)-30 factorise the polynomial
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Answer 1

To Factorize :

• (2r - 3s)² - 7 (2r - 3s) - 30

Solution :

✬ Here in the question we are given to Factorize the polynomial (2r - 3s)²- 7 (2r - 3s) - 30 So, Firstly we will split the middle term and expand the square. Then we can easily solve the further Question.

⟼ (2r - 3s)²- 7 (2r - 3s) - 30

⟼ (2r - 3s)(2r - 3s) - 7(2r - 3s) - 30

⟼ 2r(2r - 3s) - 3s(2r - 3s) - 7(2r - 3s) - 30

⟼ 4r² - 6rs - 3s(2r - 3s) - 7(2r - 3s) - 30

⟼ 4r² - 6rs - 6rs + 9s² - 7(2r - 3s) - 30

⟼ 4r² - 12rs + 9s²- 7(2r - 3s) - 30

⟼ 4r² - 12rs + 9s² - 14r + 21s - 30

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