(3r2 + 7r + 1 )+(4r2 - 8r - 2)
explain
This is a mathematical expression that represents the sum of two polynomial expressions. The first expression is 3r^2 + 7r + 1 and the second expression is 4r^2 - 8r - 2. The '+' symbol between the two expressions indicates that they should be added together.
To simplify this expression, we can first combine the like terms. The like terms are the ones that have the same variable and the same exponent. In this case, the like terms are the terms with r^2, r, and the constant terms. So, adding the like terms, we get:
(3r^2 + 4r^2) + (7r - 8r) + (1 - 2)
Simplifying further, we get:
7r^2 - r - 1
Therefore, the sum of the two polynomial expressions 3r^2 + 7r + 1 and 4r^2 - 8r - 2 is 7r^2 - r - 1.
(3r2 + 7r + 1 )+(4r2 - 8r - 2)
explain
This is a mathematical expression representing the sum of two polynomial expressions. We have:
3r^2 + 7r + 1, which has a degree of 2 and consists of 3 terms: 3r^2, 7r, and 1, and
4r^2 - 8r - 2, which also has a degree of 2 and consists of 3 terms: 4r^2, -8r, and -2.
To add these two expressions, we simply combine the like terms. Like terms are terms that have the same variable and the same exponent. In this case, we have like terms of r^2, r, and constant terms. So, adding the like terms, we get:
(3r^2 + 4r^2) + (7r - 8r) + (1 - 2)
which simplifies to:
7r^2 - r - 1
Therefore, the sum of 3r^2 + 7r + 1 and 4r^2 - 8r - 2 is 7r^2 - r - 1.
To simplify the expression (3r2 + 7r + 1) + (4r2 - 8r - 2), we first need to combine like terms.
Step 1: Combine the terms with the same degree of the variable r (the terms with r2). In this case, we have 3r2 + 4r2, which equals 7r2.
(3r2 + 4r2) + 7r + 1 + (-8r - 2)
Simplified: 7r2 + 7r + 1 + (-8r - 2)
Step 2: Combine the terms with the same degree of the variable r (the terms with r). In this case, we have 7r - 8r, which equals -1r or simply -r.
7r2 + (7r - 8r) + 1 + (-2)
Simplified: 7r2 - r + 1 - 2
Step 3: Simplify any constant terms. In this case, 1 - 2 equals -1.
7r2 - r + (-1)
Simplified: 7r2 - r - 1
The simplified expression is 7r2 - r - 1.