2e3 + 3e
--------------------------------------...
-5e � × � -15e2 + 20e
--------------------------------------...
10e5 + 15e3
3e - 5
--------------------------------------...
5e
2(e - 2)
--------------------------------------...
5e2
3e - 4
--------------------------------------...
5e2
2:
a2
--------------------------------------...
a4 + 7a2 � × � 30
--------------------------------------...
35a - 70
6
--------------------------------------...
7a3 - 7a2 + 26a - 72
15
--------------------------------------...
(a2+ 7)(7a - 14)
6
--------------------------------------...
7(a2 + 7)(a - 2)
3:
-3s
--------------------------------------...
-s2 - 7e � × � -5s2e2 - 35e3
--------------------------------------...
-6s2
5e2
--------------------------------------...
2s
5e + 32
--------------------------------------...
2s2
5e3
--------------------------------------...
2s2
4:
c2 - c - 42
--------------------------------------...
-8c - 72 � × � c2 - 81
--------------------------------------...
4c4 + 24c3
(c - 7)( c - 9)
--------------------------------------...
-13c2
(c - 7)( c - 9)
--------------------------------------...
-32c3
c2- 8c + 63
--------------------------------------...
-16c3
5:
-5i
--------------------------------------...
-4r � × � -8r2
--------------------------------------...
-5i3
2r
--------------------------------------...
i2
6r2
--------------------------------------...
i2
2r
--------------------------------------...
9i3
6:
-6a
--------------------------------------...
-4s � × � -8s2 - 12s
--------------------------------------...
-6a3
2s + 3
--------------------------------------...
a2
s 3
--------------------------------------...
a2
s
--------------------------------------...
a3
7:
35b6
--------------------------------------...
8b4 � × � 20b5
--------------------------------------...
42b4
5b3
--------------------------------------...
6
25b3
--------------------------------------...
12
20b3
--------------------------------------...
6
8:
d - 5
--------------------------------------...
24d + 96 � × � 21
--------------------------------------...
d4 - 5d3 - 5d + 25
7
--------------------------------------...
8(d + 4)(d3 - 5)
7
--------------------------------------...
8(d - 5)(d3 - 5)
7
--------------------------------------...
8(d + 4)(d - 5)
i don't understand your posting
2e3 + 3e
-5e × -15e2 + 20e
10e5 + 15e3
To solve these expressions, we need to simplify them step by step. Let's start with the first expression:
Expression: 2e^3 + 3e / (-5e ÷ (-15e^2 + 20e) / (10e^5 + 15e^3))
To simplify this expression, we can follow these steps:
Step 1: Simplify the numerator
- In the numerator, combine like terms.
- We have two terms: 2e^3 and 3e.
- Combine them by adding their coefficients: 2e^3 + 3e = 2e^3 + 3e^1 = 2e^3 + 3e
Step 2: Simplify the denominator
- In the denominator, we have (-5e ÷ (-15e^2 + 20e))
- Simplify the division by dividing the numerator by the denominator:
-5e ÷ (-15e^2 + 20e) = -5e / (-15e^2 + 20e)
Step 3: Simplify the denominator further
- Factor out common terms from the denominator: -5e / (-15e^2 + 20e) = -5e / (5e(-3e + 4))
- Cancel out the common term '5e' from the numerator and denominator:
-5e / (5e(-3e + 4)) = -1 / (-3e + 4)
Step 4: Simplify the final expression
- Now that we have the simplified numerator and denominator, let's simplify the entire expression by dividing the numerator by the denominator:
(2e^3 + 3e) / (-1 / (-3e + 4)) = (2e^3 + 3e) * (-3e + 4) = -6e^4 + 8e^3 - 9e^2 + 12e
So the simplified expression is -6e^4 + 8e^3 - 9e^2 + 12e.
You can follow a similar approach to simplify the other expressions given. Identify the terms and factors, combine like terms, cancel out common factors, and simplify the expression step by step.