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11-10-2020
Mathematics

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(ab+cd)2 - (ac-bd)2 factorize 2 is power

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jimrgrant1 jimrgrant1

11-10-2020

Answer:

(ab + cd + ac - bd)(ab + cd - ac + bd)

Step-by-step explanation:

(ab + cd)² - (ac - bd)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = ab + cd and b = ac - bd , then

= (ab + cd + ac - bd)(ab + cd - (ac - bd))

= (ab + cd + ac - bd)(ab + cd - ac + bd)

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