Multiply
(2x + y)(x - y)
To multiply (2x + y)(x - y), we can use the distributive property.
First, let's distribute 2x to both terms inside the second parentheses:
(2x + y)(x - y) = 2x * x - 2x * y + y * x - y * y
This simplifies to:
2x^2 - 2xy + xy - y^2
Now, let's combine the like terms:
2x^2 - xy - y^2
So, the simplified form of (2x + y)(x - y) is 2x^2 - xy - y^2.
To multiply the expression (2x + y)(x - y), you can use the FOIL method, which stands for:
F: Multiply the first terms of both parentheses.
O: Multiply the outer terms of both parentheses.
I: Multiply the inner terms of both parentheses.
L: Multiply the last terms of both parentheses.
Let's go step by step:
First, multiply the first terms of both parentheses:
(2x)(x) = 2x^2
Next, multiply the outer terms of both parentheses:
(2x)(-y) = -2xy
Then, multiply the inner terms of both parentheses:
(y)(x) = xy
Finally, multiply the last terms of both parentheses:
(y)(-y) = -y^2
Now, combine all the results to get the final answer:
(2x + y)(x - y) = 2x^2 - 2xy + xy - y^2
Simplifying the terms further:
= 2x^2 - xy - y^2
To multiply the given expression, (2x + y)(x - y), you can use the distributive property. Basically, you need to multiply every term in the first set of parentheses by every term in the second set of parentheses and then combine like terms if possible.
Let's break it down step by step:
Step 1: Multiply the first term in the first set of parentheses by every term in the second set of parentheses.
2x * x = 2x^2
2x * -y = -2xy
Step 2: Multiply the second term in the first set of parentheses by every term in the second set of parentheses.
y * x = xy
y * -y = -y^2
Step 3: Combine the terms obtained in steps 1 and 2.
(2x^2 - 2xy + xy - y^2)
Step 4: Simplify the expression by combining like terms.
(2x^2 - xy - y^2)
Therefore, the expression (2x + y)(x - y) simplifies to 2x^2 - xy - y^2.