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- 49a² + 70ab + 25b²
- When it comes to integers if a number has an integral value and that particular value get divided completely by another number(s) without leaving any remainder other than zero, then the dividend is said to be a factor(s) of that integer.
- To factorize the given polynomial .
- 49a² + 70ab + 25b²
Let,
- 49a² = 'x²' ⇒ √49a² = √x² ⇒ 7a = x
- 25b² = 'y²' ⇒ √25b² = √y² ⇒ 5b = y
Now,
- we know that: (x + y)² = x² + 2xy + y²
- Replace in the formula:
- (7a + 5b)² = 49a² + 70ab + 25b²
∴ Factors are (7a + 5b)(7a + 5b)
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