A few here.
4x-8
------
x(squared)-4
_________________________
2m(squared)+5m-3
------------------
m(squared)+4m+3
__________________________
3x+4
-----
12
(times)
8
-----
9x+12
________________________
x+5
-----
16x
(divided by)
3x-2
-----
4x(squared)
____________________
2-x
-----
7x
(times)
14
----
x-2
________________________
7x
----
x(squared)+4x
(divided by)
35x(squared)
-----
x+4
_______________
(8x(to the 8th power)+16x(to the 6th power)-12x(cubed)) (divided by) 2x(squared)
The ---- lines are lines on the paper(division lines) and the _____ lines are dividers between problems. Please help!
first one ...
(4x-8)/(x^2 - 4)
= 4(x-2)/((x-2)(x+2))
= 4/(x+2) , x ≠ 2
the second one, factor top and bottom
third, factor ...
4th, remember to divide by a fraction, we multiply by the reciprocal of that fraction
Have you tried any of these ?
yep....
Sure, I'll help you solve each of these problems step by step.
1. Simplify the expression (4x - 8) / (x^2 - 4):
To simplify this expression, first factor the numerator and denominator:
Numerator: 4x - 8 = 4(x - 2)
Denominator: x^2 - 4 = (x - 2)(x + 2)
Now cancel out the common factor of (x - 2):
(4(x - 2)) / ((x - 2)(x + 2))
= 4 / (x + 2)
2. Simplify the expression (2m^2 + 5m - 3) / (m^2 + 4m + 3):
Factor the numerator and denominator:
Numerator: 2m^2 + 5m - 3 = (2m - 1)(m + 3)
Denominator: m^2 + 4m + 3 = (m + 1)(m + 3)
Cancel out the common factor of (m + 3):
((2m - 1)(m + 3)) / ((m + 1)(m + 3))
= (2m - 1) / (m + 1)
3. Multiply the expression (3x + 4) * 12:
Simply distribute the 12 to each term inside the parentheses:
(3x + 4) * 12 = 36x + 48
4. Divide the expression 8 / (9x + 12):
There is no simplification to be done in this case, so the answer remains as 8 / (9x + 12).
5. Divide the expression (x + 5) / 16x by (3x - 2) / (4x^2):
In this case, dividing by a fraction is the same as multiplying by its reciprocal. So the expression becomes:
(x + 5) / 16x * (4x^2) / (3x - 2)
= (x + 5) * (4x^2) / (16x * (3x - 2))
= (4x^3 + 20x^2) / (48x^2 - 32x)
6. Multiply the expression (2 - x) * 14 / (7x - 2):
Multiply the numerator and denominator separately:
(14 * (2 - x)) / (7x - 2)
= (28 - 14x) / (7x - 2)
7. Divide the expression 7x / (x^2 + 4x) by 35x^2 / (x + 4):
Dividing by a fraction is the same as multiplying by its reciprocal:
(7x / (x^2 + 4x)) * ((x + 4) / 35x^2)
Simplify the expression:
(7x(x + 4)) / (35x^2(x^2 + 4x))
= (7x^2 + 28x) / (35x^3 + 140x^2)
8. Simplify the expression (8x^8 + 16x^6 - 12x^3) / (2x^2):
Divide each term inside the parentheses by 2x^2:
(8x^8 / 2x^2) + (16x^6 / 2x^2) - (12x^3 / 2x^2)
= 4x^6 + 8x^4 - 6x