simplify each polynomial below and type in the correct answer
-4+8p-6p-5+20p
To simplify the polynomial -4+8p-6p-5+20p, we can combine like terms.
First, let's combine the p terms: 8p - 6p + 20p = (8 - 6 + 20)p = 22p.
Next, let's combine the constants: -4 - 5 = -9.
Therefore, the simplified polynomial is 22p - 9.
simplify this polynomial
x^2 - 2x + 5x^2 +1 - 10x
To simplify the polynomial x^2 - 2x + 5x^2 + 1 - 10x, we can combine like terms.
First, let's combine the x^2 terms: x^2 + 5x^2 = (1 + 5)x^2 = 6x^2.
Next, let's combine the x terms: -2x - 10x = (-2 - 10)x = -12x.
Finally, let's combine the constants: 1.
Therefore, the simplified polynomial is 6x^2 - 12x + 1.
(2b^2 +b-3) + (2b^2-b-3)=
To simplify the expression (2b^2 + b - 3) + (2b^2 - b - 3), we can combine like terms.
First, let's combine the b^2 terms: 2b^2 + 2b^2 = 4b^2.
Next, let's combine the b terms: b - b = 0b = 0.
Finally, let's combine the constants: -3 - 3 = -6.
Therefore, the simplified expression is 4b^2 - 6.
is this expressio using polynomials?
Yes, the expression (2b^2 + b - 3) + (2b^2 - b - 3) is using polynomials. A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication. In this case, the expression consists of multiple terms with variables (b^2 and b) and coefficients (2 and -1), and it uses addition to combine the terms. Therefore, it can be classified as a polynomial expression.
(2a^2 + 5a + 7) - (a^2 - 3a - 1) =
To simplify the expression (2a^2 + 5a + 7) - (a^2 - 3a - 1), we can perform the subtraction operation.
First, distribute the negative sign (-1) to every term inside the parentheses: -a^2 + 3a + 1.
Then, combine like terms:
(2a^2 + 5a + 7) - (a^2 - 3a - 1)
= 2a^2 + 5a + 7 - a^2 + 3a + 1
= (2a^2 - a^2) + (5a + 3a) + (7 + 1)
= a^2 + 8a + 8
Therefore, the simplified expression is a^2 + 8a + 8.