factories (a-2b)^2-5(a2b)+6
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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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