Question

factoize 2 (ab + cd) - a sqaure - b square + c square + d square

Answer 1

Answer:

2(ab+cd)−a²−b²+c²+d²

=(c²+2cd+d²)−(a²−2ab+b²)

=(c+d)²−(a−b)²

=(c+d+a−b)(c+d−a+b)

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Answer 2

Given :-

➝ 2(ab + cd) - a² - b² + c² + d²

➝ To factorize it

Identity used :-

➝ a² - b² = (a + b) (a - b)

Solution :-

➝ 2(ab + cd) - a² - b² + c² + d²

➝ 2ab + 2cd - a² - b² + c² + d²

➝ (c² + d² + 2cd) - (a² + b² -2ab)

➝ (c + d)² - (a-b)²

➝ [(c + d) + (a - b)] [(c + d) - (a-b)]

➝ (c + d + a - b) (c + d - a + b)

Learn more :-

➝ https://brainly.in/question/34421309

➝ Factorize 27 ( x + y )³ + 8 ( 2x - y )³