Factor completely x2 − 49.
2 answers:
Answer:
The answer is (x + 7)(x − 7).
Step-by-step explanation:
Given the expression
![x^2-49](https://tex.z-dn.net/?f=x%5E2-49)
we have to factorize the above expression completely.
Given expression is
→ (1)
By the identity ![a^2-b^2=(a+b)(a-b)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29)
Put a=x and b=7, we get
![x^2-7^2=(x+7)(x-7)](https://tex.z-dn.net/?f=x%5E2-7%5E2%3D%28x%2B7%29%28x-7%29)
Eq (1) can be written as
![x^2-49=(x+7)(x-7)](https://tex.z-dn.net/?f=x%5E2-49%3D%28x%2B7%29%28x-7%29)
∴ Option 2 is correct.
<span>(x + 7)(x − 7) should be your final result</span>
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Your answer is at the top good luck!