What is the factored form of the following expression? 25x^2 + 70x+ 49
1 answer:
Answer:
( 5x + 7 ) ²
Step-by-step explanation:
25 x ² + 70 x + 49
Identity Used
- (a + b) ² = a ² + 2 ab + b ²
= 25 x ² + 35 x + 35 x + 49
= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)
= ( 5x + 7 )
<u>More to know about Algebraic Identities</u> :-
- ➛ (a + b)² = a² + 2ab + b²
- ➛ (a - b)² = a² - 2ab + b²
- ➛ a² - b² = (a +b) (a-b)
- ➛ (x + a) (x + b) = x² + (a + b) x + ab
- ➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
- ➛ (a + b)³ = a³ + b³ + 3ab (a + b)
- ➛ (a - b)³ = a³ - b³ - 3ab (a + b)
- ➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)
- ➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)
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