(X-5)(x+3)
2x^2-x^2-2x-20+5
To simplify the expression, let's start by multiplying the terms inside the parentheses:
(x-5)(x+3) = x*x + x*3 - 5*x - 5*3
Simplifying this gives us:
= x^2 + 3x - 5x - 15
Now we can combine like terms (3x - 5x) to get:
= x^2 - 2x - 15
Now let's simplify the second expression:
2x^2 - x^2 - 2x - 20 + 5
= x^2 - 2x - 15
We can see that the simplified expression for both is the same: x^2 - 2x - 15
To expand the expression (x-5)(x+3), you can use the distributive property.
First, multiply the first term of the first factor (x) by each term in the second factor (x+3):
x * x = x^2
x * 3 = 3x
Next, multiply the second term of the first factor (-5) by each term in the second factor:
-5 * x = -5x
-5 * 3 = -15
So, the expanded expression becomes:
x^2 + 3x - 5x - 15
Now, simplify the terms with similar variables:
x^2 + (-2x) - 15
Combining the like terms, the final expanded expression is:
x^2 - 2x - 15
Now, let's simplify the expression 2x^2 - x^2 - 2x - 20 + 5:
First, simplify the x^2 terms:
2x^2 - x^2 = x^2
Next, combine the like terms with x:
-2x - x = -3x
Now, combine the constant terms:
-20 + 5 = -15
So, the simplified expression is:
x^2 - 3x - 15
To simplify the expression (x-5)(x+3), we can use the Distributive Property.
The Distributive Property states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b and a and c.
In this case, a is (x-5) and the sum of b and c is (x+3).
So, applying the Distributive Property, we multiply each term in (x-5) by each term in (x+3) and then combine like terms.
(x-5)(x+3) = x(x+3) + (-5)(x+3)
Now, we multiply each term:
x(x+3) = x^2 + 3x
(-5)(x+3) = -5x - 15
Finally, we combine the like terms:
x^2 + 3x - 5x - 15
Combining like terms, we get:
x^2 - 2x - 15