Expand:i) (x+13) (x-20)
ii) (201)²
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Answer:
Sure, let's expand the given expressions:
i) \((x + 13)(x - 20)\)
To expand this, you can use the FOIL method, which stands for First, Outer, Inner, Last.
\[ (x + 13)(x - 20) = x \cdot x + x \cdot (-20) + 13 \cdot x + 13 \cdot (-20) \]
Now, simplify:
\[ x^2 - 20x + 13x - 260 \]
Combine like terms:
\[ x^2 - 7x - 260 \]
So, \((x + 13)(x - 20) = x^2 - 7x - 260\).
ii) \( (201)^2 \)
To find the square of 201, you multiply it by itself:
\[ (201)^2 = 201 \times 201 \]
\[ = 40,401 \]
So, \( (201)^2 = 40,401 \).
Step-by-step explanation: