What's the answers to the following...Please and Thank u!
1. (x+5)(2x+3)
2. (2x+3)(x+4)
3. (x+3)(3x+2)
4. (x+3)(x+3)
It's time you learned the FOIL method. You can read about it here:
http://www.algebrahelp.com/lessons/simplifying/foilmethod/
Give it a try and we'll tell you if you are doing it right.
Use the FOIL method to find the answers to all of these.
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Outter
Inner
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1. 2x^2+13x+15
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To find the answers to the given expressions, you need to apply the distributive property and simplify the resulting expression. Let's go through each of them step by step:
1. (x+5)(2x+3)
To find the product, you need to multiply each term from the first expression (x+5) by every term from the second expression (2x+3). Use the distributive property to do this:
(x+5)(2x+3) = x(2x+3) + 5(2x+3)
Now, apply the distributive property again:
= (x * 2x) + (x * 3) + (5 * 2x) + (5 * 3)
Simplify the products:
= 2x^2 + 3x + 10x + 15
Combine like terms:
= 2x^2 + 13x + 15
Therefore, the answer is 2x^2 + 13x + 15.
2. (2x+3)(x+4)
Using the same steps, we apply the distributive property:
(2x+3)(x+4) = (2x * x) + (2x * 4) + (3 * x) + (3 * 4)
Simplify the products:
= 2x^2 + 8x + 3x + 12
Combine like terms:
= 2x^2 + 11x + 12
Therefore, the answer is 2x^2 + 11x + 12.
3. (x+3)(3x+2)
Let's multiply using the distributive property:
(x+3)(3x+2) = (x * 3x) + (x * 2) + (3 * 3x) + (3 * 2)
Simplify the products:
= 3x^2 + 2x + 9x + 6
Combine like terms:
= 3x^2 + 11x + 6
So, the answer is 3x^2 + 11x + 6.
4. (x+3)(x+3)
Since the expressions are the same, we can use a shortcut for squaring binomials called the FOIL method:
(x+3)(x+3) = x * x + x * 3 + 3 * x + 3 * 3
Simplify the products:
= x^2 + 3x + 3x + 9
Combine like terms:
= x^2 + 6x + 9
Therefore, the answer is x^2 + 6x + 9.