Answer:
(ii) x ^ 2 + 2ax + (a + b)(a - b we can factorize it as follows:
x ^ 2 + 2ax + (a + b)(a - b)
= x ^ 2 + 2ax + (a ^ 2 - b ^ 2)
= (x + a) ^ 2 - b ^ 2
This is a difference of squares which can be further factored as:
(x + a + b)(x + a - b)
So the factors for expression (ii) are: (x + a + b) and (x + a - b).
[x + a + b) ] [ x + a - b ]
Step-by-step explanation:
x² + 2a x + (a+b)(a-b)
= x² + 2a x + (a² - b²)
= (x + a)² - b², it's in the form of p² - q²
= [(x + a) + b) ] [ (x + a) - b ]
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Answers & Comments
Answer:
(ii) x ^ 2 + 2ax + (a + b)(a - b we can factorize it as follows:
x ^ 2 + 2ax + (a + b)(a - b)
= x ^ 2 + 2ax + (a ^ 2 - b ^ 2)
= (x + a) ^ 2 - b ^ 2
This is a difference of squares which can be further factored as:
(x + a + b)(x + a - b)
So the factors for expression (ii) are: (x + a + b) and (x + a - b).
Answer:
[x + a + b) ] [ x + a - b ]
Step-by-step explanation:
x² + 2a x + (a+b)(a-b)
= x² + 2a x + (a² - b²)
= (x + a)² - b², it's in the form of p² - q²
= [(x + a) + b) ] [ (x + a) - b ]