I need help with the following question...
I need to simplify these 2 questions....
1. 6x^2+7x-3 over 2x+3
2. 3x(3x+1)-(1+9x^2)
I need to simplify these 2 questions....
1. 6x^2+7x-3 over 2x+3
2. 3x(3x+1)-(1+9x^2)
-
1.) (6x²+7x-3)/(2x+3)
→ [(2x+3)(3x-1)]/(2x+3)
→ 3x-1
Solution: 3x-1
2.) 3x(3x+1)-(1+9x²)
→ 9x²+3x-1-9x²
→ 3x-1
Solution: 3x-1
→ [(2x+3)(3x-1)]/(2x+3)
→ 3x-1
Solution: 3x-1
2.) 3x(3x+1)-(1+9x²)
→ 9x²+3x-1-9x²
→ 3x-1
Solution: 3x-1
-
(6x^2 + 7x - 3)/(2x + 3)
Start by noting the denominator cannot be factored so to simplify the expression (2x + 3) must be a factor of (6x^2 + 7 - 3). So, if we use the foil method we get at first
(2x + 3)(
Now to get 6x^2 having 2x as one of its factors the other factor is 3x and we get
(2x + 3)(3x
Now we need to get - 3 with a known factor of + 3 so the other factor must be - 1. so we think the answer is
(2x + 3)(3x - 1)
We can check by finding the middle term and we get 9x - 2x = 7x.
Now we can cancle the 2x + 3 from top and bottom and get 3x - 1 as the answer
3x(3x+1) - (1 + 9x^2)
9x^2 + 3x - 1 - 9x^2
3x - 1
Start by noting the denominator cannot be factored so to simplify the expression (2x + 3) must be a factor of (6x^2 + 7 - 3). So, if we use the foil method we get at first
(2x + 3)(
Now to get 6x^2 having 2x as one of its factors the other factor is 3x and we get
(2x + 3)(3x
Now we need to get - 3 with a known factor of + 3 so the other factor must be - 1. so we think the answer is
(2x + 3)(3x - 1)
We can check by finding the middle term and we get 9x - 2x = 7x.
Now we can cancle the 2x + 3 from top and bottom and get 3x - 1 as the answer
3x(3x+1) - (1 + 9x^2)
9x^2 + 3x - 1 - 9x^2
3x - 1
-
just to add to the above for 3x-1 , x = 1/3