add these polynomial 1-x-x^2,x+2and3x^2
Answers
Answer:
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:(2x + 5y) + (3x – 2y)
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:(2x + 5y) + (3x – 2y)2x + 5y + 3x – 2y
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:(2x + 5y) + (3x – 2y)2x + 5y + 3x – 2y2x + 3x + 5y – 2y
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:(2x + 5y) + (3x – 2y)2x + 5y + 3x – 2y2x + 3x + 5y – 2y5x + 3y
Step-by-step explanation:
x2 – x + 22
While the first format (without the 1's being written in) is the more "standard" format, either format is mathematically valid. You should use the format that works most successfully for you. Don't be shy about inserting the understood 1 when you're starting out; don't feel bound to continue using it once you get to feeling confident without it.
Simplify x + 2(x – [3x – 8] + 3)
This is just an order of operations problem with a variable in it. If I work carefully from the inside out, paying careful attention to my "minus" signs, then I should be fine:
x + 2(x – [3x – 8] + 3)
x + 2(x – 1[3x – 8] + 3)
x + 2(x – 1[3x] – 1[–8] + 3)
x + 2(x – 3x + 8 + 3)
x + 2(–2x + 11)
x + 2(–2x) + 2(+11)
x – 4x + 22
1x – 4x + 22
–3x + 22
Just so you know, this is the kind of problem that us math teachers love to put on tests (yes, some of us are kinda sick puppies), so you should expect to need to be able to deal with nested grouping symbols like this.
Simplify [(6x – 8) – 2x] – [(12x – 7) – (4x – 5)]
I'll work from the inside out:
[(6x – 8) – 2x] – [(12x – 7) – (4x – 5)]
[6x – 8 – 2x] – [12x – 7 – 1(4x) – 1(–5)]
[6x – 2x – 8] – [12x – 7 – 4x + 5]
[4x – 8] – [12x – 4x – 7 + 5]
4x – 8 – [8x – 2]
4x – 8 – 1[8x] – 1[–2]
4x – 8 – 8x + 2
4x – 8x – 8 + 2
–4x – 6
Simplify –4y – [3x + (3y – 2x + {2y – 7} ) – 4x + 5]
As always, I'll start at the innermost grouping, and simplify my way out to the answer.
–4y – [3x + (3y – 2x + {2y – 7} ) – 4x + 5]
–4y – [3x + (3y – 2x + 2y – 7) – 4x + 5]
–4y – [3x + (–2x + 3y + 2y – 7) – 4x + 5]
–4y – [3x + (–2x + 5y – 7) – 4x + 5]
–4y – [3x – 2x + 5y – 7 – 4x + 5]
–4y – [3x – 2x – 4x + 5y – 7 + 5]
–4y – [3x – 6x + 5y – 7 + 5]
–4y – [–3x + 5y – 2]
–4y – 1[–3x] – 1[+5y] – 1[–2]
–4y + 3x – 5y + 2
3x – 4y – 5y + 2
3x – 9y + 2
__ʜᴏᴘᴇ ɪᴛ's ʜᴇʟᴘғᴜʟ ᴛᴏ ʏᴏᴜ __
Step-by-step explanation:
x2 – x + 22
While the first format (without the 1's being written in) is the more "standard" format, either format is mathematically valid. You should use the format that works most successfully for you. Don't be shy about inserting the understood 1 when you're starting out; don't feel bound to continue using it once you get to feeling confident without it.
Simplify x + 2(x – [3x – 8] + 3)
This is just an order of operations problem with a variable in it. If I work carefully from the inside out, paying careful attention to my "minus" signs, then I should be fine:
x + 2(x – [3x – 8] + 3)
x + 2(x – 1[3x – 8] + 3)
x + 2(x – 1[3x] – 1[–8] + 3)
x + 2(x – 3x + 8 + 3)
x + 2(–2x + 11)
x + 2(–2x) + 2(+11)
x – 4x + 22
1x – 4x + 22
–3x + 22
Just so you know, this is the kind of problem that us math teachers love to put on tests (yes, some of us are kinda sick puppies), so you should expect to need to be able to deal with nested grouping symbols like this.
Simplify [(6x – 8) – 2x] – [(12x – 7) – (4x – 5)]
I'll work from the inside out:
[(6x – 8) – 2x] – [(12x – 7) – (4x – 5)]
[6x – 8 – 2x] – [12x – 7 – 1(4x) – 1(–5)]
[6x – 2x – 8] – [12x – 7 – 4x + 5]
[4x – 8] – [12x – 4x – 7 + 5]
4x – 8 – [8x – 2]
4x – 8 – 1[8x] – 1[–2]
4x – 8 – 8x + 2
4x – 8x – 8 + 2
–4x – 6
Simplify –4y – [3x + (3y – 2x + {2y – 7} ) – 4x + 5]
As always, I'll start at the innermost grouping, and simplify my way out to the answer.
–4y – [3x + (3y – 2x + {2y – 7} ) – 4x + 5]
–4y – [3x + (3y – 2x + 2y – 7) – 4x + 5]
–4y – [3x + (–2x + 3y + 2y – 7) – 4x + 5]
–4y – [3x + (–2x + 5y – 7) – 4x + 5]
–4y – [3x – 2x + 5y – 7 – 4x + 5]
–4y – [3x – 2x – 4x + 5y – 7 + 5]
–4y – [3x – 6x + 5y – 7 + 5]
–4y – [–3x + 5y – 2]
–4y – 1[–3x] – 1[+5y] – 1[–2]
–4y + 3x – 5y + 2
3x – 4y – 5y + 2
3x – 9y + 2