First, distribute the negative sign in the second parenthesis:
(2r + 1) - 2 + 8r
Then combine like terms:
2r + 1 - 2 + 8r
= 10r - 1
(2r + 1) - (2 - 8r)
simplify
7 answers
(7n^2 - 4 6- 5n) + (8 + 8n)
simplify
simplify
To simplify the expression, first combine like terms that are within parentheses:
(7n^2 - 46 - 5n) + (8 + 8n)
= 7n^2 - 5n - 46 + 8 + 8n
Then combine like terms from both sets of parentheses:
7n^2 - 5n + 8n - 46 + 8
= 7n^2 + 3n - 38
(7n^2 - 46 - 5n) + (8 + 8n)
= 7n^2 - 5n - 46 + 8 + 8n
Then combine like terms from both sets of parentheses:
7n^2 - 5n + 8n - 46 + 8
= 7n^2 + 3n - 38
x^2 + 12x + 20
factor each completely
factor each completely
To factor the quadratic expression x^2 + 12x + 20 completely, we need to find two numbers that multiply to the constant term (20) and add up to the coefficient of the linear term (12).
The two numbers are 10 and 2 since 10 * 2 = 20 and 10 + 2 = 12.
Now we rewrite the middle term (12x = 10x + 2x):
x^2 + 10x + 2x + 20
Group the terms:
(x^2 + 10x) + (2x + 20)
Factor out the common factors from each group:
x(x + 10) + 2(x + 10)
Factor out the common binomial factor:
(x + 10)(x + 2)
Therefore, the completely factored form of x^2 + 12x + 20 is (x + 10)(x + 2).
The two numbers are 10 and 2 since 10 * 2 = 20 and 10 + 2 = 12.
Now we rewrite the middle term (12x = 10x + 2x):
x^2 + 10x + 2x + 20
Group the terms:
(x^2 + 10x) + (2x + 20)
Factor out the common factors from each group:
x(x + 10) + 2(x + 10)
Factor out the common binomial factor:
(x + 10)(x + 2)
Therefore, the completely factored form of x^2 + 12x + 20 is (x + 10)(x + 2).
are you sure??
I apologize for the mistake in my previous response. Let's factor the expression x^2 + 12x + 20 correctly.
To factor x^2 + 12x + 20, we need to find two numbers that multiply to 20 and add up to 12. The numbers are 10 and 2.
Now we rewrite the middle term (12x = 10x + 2x):
x^2 + 10x + 2x + 20
Group the terms:
(x^2 + 10x) + (2x + 20)
Factor out the common factors from each group:
x(x + 10) + 2(x + 10)
Factor out the common binomial factor:
(x + 10)(x + 2)
Therefore, the correct completely factored form of x^2 + 12x + 20 is (x + 10)(x + 2). Thank you for pointing out the error.
To factor x^2 + 12x + 20, we need to find two numbers that multiply to 20 and add up to 12. The numbers are 10 and 2.
Now we rewrite the middle term (12x = 10x + 2x):
x^2 + 10x + 2x + 20
Group the terms:
(x^2 + 10x) + (2x + 20)
Factor out the common factors from each group:
x(x + 10) + 2(x + 10)
Factor out the common binomial factor:
(x + 10)(x + 2)
Therefore, the correct completely factored form of x^2 + 12x + 20 is (x + 10)(x + 2). Thank you for pointing out the error.
3 answers