Asked by gen
if y1=x^2+3x-1 and y2=x-5,
find: a. y1+y2
b. y1-y2
c. y1(y2)
find: a. y1+y2
b. y1-y2
c. y1(y2)
Answers
Answered by
jai
y1 = x^2 + 3x - 1
y2 = x - 5
for y1 - y2, combine similar terms,, for terms with same variables, add their numerical coefficients (number before the variable) and copy the variable:
x^2 + 3x - 1 -(x - 5)
x^2 + 3x - 1 - x + 5
x^2 + 3x - x - 1 + 5 *i just rearrange the terms*
x^2 + 2x + 4
for y1(y2), distribute each term:
(x^2 + 3x - 1)(x - 5)
to distribute, multiply x^2 by x plus x^2 times -5, plus 3x times x plus 3x times -5, and so on:
(x^2)*x + (-5)x^2 + 3x^2 - 15x - x + 5
now simplify this by combining similar terms.
y2 = x - 5
for y1 - y2, combine similar terms,, for terms with same variables, add their numerical coefficients (number before the variable) and copy the variable:
x^2 + 3x - 1 -(x - 5)
x^2 + 3x - 1 - x + 5
x^2 + 3x - x - 1 + 5 *i just rearrange the terms*
x^2 + 2x + 4
for y1(y2), distribute each term:
(x^2 + 3x - 1)(x - 5)
to distribute, multiply x^2 by x plus x^2 times -5, plus 3x times x plus 3x times -5, and so on:
(x^2)*x + (-5)x^2 + 3x^2 - 15x - x + 5
now simplify this by combining similar terms.
Answered by
Anon
Alright. a. y1+y2 should be set up as follows:
(x^2+3x-1)+(x-5), which equates to
x^2+4x-6
You just combine the like terms.
b. (x^2+3x-1)-(x-5)
For this one you need to distribute the negative, to get x^2+3x-1-x+5, then combine like terms.
c. (x-5)(x^2+3x-1)= x^3+3x^2-x-5x^2-15x+5. Combine like terms.
(x^2+3x-1)+(x-5), which equates to
x^2+4x-6
You just combine the like terms.
b. (x^2+3x-1)-(x-5)
For this one you need to distribute the negative, to get x^2+3x-1-x+5, then combine like terms.
c. (x-5)(x^2+3x-1)= x^3+3x^2-x-5x^2-15x+5. Combine like terms.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.