100-a^2-b^2-2ab factorise it anyone fast pls I will mark u as brainliest
Answers
Answered by
44
Solution -
♦ 100 - a² - b² - 2ab
= (10)² - (a² + b² + 2ab)
= (10)² - (a + b)²
= [10 + (a + b)] [10 - (a + b)
= (10 + a + b) (10 - a - b)
Answer - (10 + a + b) (10 - a - b)
Identity Used -
♢ a² + b² + 2ab = (a + b)²
♢ a² - b² = (a + b) (a - b)
Note -
(10)² = 100
♦ 100 - a² - b² - 2ab
= (10)² - (a² + b² + 2ab)
= (10)² - (a + b)²
= [10 + (a + b)] [10 - (a + b)
= (10 + a + b) (10 - a - b)
Answer - (10 + a + b) (10 - a - b)
Identity Used -
♢ a² + b² + 2ab = (a + b)²
♢ a² - b² = (a + b) (a - b)
Note -
(10)² = 100
ajay7336:
good answer
Answered by
8
Answer:
Step-by-step explanation:100-a^2-b^2-2ab=[take 100=10^2 añd take out the minus(-) as common]
10^2-(a^2+b^2+2ab)=[convert the bracket portion to the identity a^2+b^2]
10^2-(a^2+b^2)=[now with identity a^2-b^2 continue it]
(10+a+b)(10-(a+b))=
(10+a+b)(10-a-b) :--ANSWER
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