Math, asked by gopalmardi, 5 months ago

factories (a-2b)^2-5(a2b)+6​

Answers

Answered by pv679729
2

HOPE U UNDERSTAND...........

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Answered by Anonymous
8

Correct Question :

›»› Factorize (a - 2b)² - 6(a - 2b) + 6

Answer :

›»› The expression = (a - 2b - 3) (a - 2b - 2)

Given :

  • (a - 2b)² - 5(a - 2b) + 6

To Find :

  • Factorize the expression.

Solution :

→ (a - 2b)² - 5(a - 2b) + 6

Expand the expression,

→ a² - 4ab + 4b² - 5(a - 2b) + 6

Organize the expression with the distributive law,

→ a² - 4ab + 4b² - 5a + 10b + 6

Sort the polynomial expression in descending order,

→ a² - 4ab - 5a + 4b² + 10b + 6

Do factorization,

(a - 2b - 3) (a - 2b - 2)

Hence, the expression is (a - 2b - 3) (a - 2b - 2).

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