One of the factor of (1+7x)2 + (49x2-1) is
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Answered by
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Given:
(1+7x)² + (49x²-1)
To find:
Factor of the (1+7x)² + (49x²-1).
Solution:
1) To find the factor of the (1+7x)² + (49x²-1) we will solve the terms individually.
2) (1+7x)² + (49x²-1)
- (1+7x)² + (7x+1)(7x-1) { By the Identity A²-B²= (A+B)(A-B) }
- (7x+1)(1+7x+7x-1) { taking out the common terms}
- (7x+1)(14x)
3) The factors of the (1+7x)² + (49x²-1) are 7x+1 and 14x.
(7x+1) and 14x are factors.
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