what is the product of (x+4)and (x-5)
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perimeter of a triangle with side (5x – 3)cm, (2x + 4)cm and (-4x + 6) cm. *
To find the product of (x + 4) and (x - 5), we can use the distributive property of multiplication over addition:
Step 1: Start by multiplying the first terms of each expression.
(x + 4) * (x - 5) = x * x
Step 2: Multiply the inner terms of each expression.
(x + 4) * (x - 5) = x * (-5)
Step 3: Multiply the outer terms of each expression.
(x + 4) * (x - 5) = 4 * x
Step 4: Lastly, multiply the last terms of each expression.
(x + 4) * (x - 5) = 4 * (-5)
Step 5: Now simplify and combine like terms.
(x + 4) * (x - 5) = x^2 - 5x + 4x - 20
Step 6: Combine the middle terms.
(x + 4) * (x - 5) = x^2 - x - 20
Therefore, the product of (x + 4) and (x - 5) is x^2 - x - 20.
To find the product of (x+4) and (x-5), we can use the distributive property.
The distributive property states that for any numbers a, b, and c, the product of a and the sum of b and c can be found by distributing a to each term separately. In other words, a(b + c) = ab + ac.
Applying this to the expression (x+4)(x-5), we can distribute the x to each term separately:
(x+4)(x-5) = x(x-5) + 4(x-5)
Now, we can simplify each term separately:
1. x(x-5):
To multiply x by (x-5), we can use the distributive property again:
x(x-5) = x*x - x*5
This simplifies into:
x^2 - 5x
2. 4(x-5):
To multiply 4 by (x-5), we also use the distributive property:
4(x-5) = 4*x - 4*5
This simplifies into:
4x - 20
Now, we can combine the simplified terms:
(x+4)(x-5) = x^2 - 5x + 4x - 20
Combining like terms, we get:
(x+4)(x-5) = x^2 - x - 20
Therefore, the product of (x+4) and (x-5) is x^2 - x - 20.
4x(x - 5) - 5x(x - 4) = -1
4x*x - 4x*5 - 5x*x - 5x*-4 = -1
4x^2 - 20x - 5x^2 + 20x = -1
-x^2 = -1
x^2 = 1
x = 1, x = -1
So the answer is x = 1 or x = -1.
I hope that helps! :)