The expansion of the given expressions are; 4x² - 5x - 5; 2x² - 13x + 15; -2x² - 5x + 3; 3x² + 6x - 1
<h3>How to simplify Quadratic equations?</h3>
A) x(x - 5) + 3x² - 5
Expanding this gives us;
x² - 5x + 3x² - 5
⇒ 4x² - 5x - 5
B) (2x - 3)(x - 5)
Expanding the function gives;
⇒ (2x² - 3x - 10x + 15)
⇒ 2x² - 13x + 15
C) -2x(x + 3) + x + 3
⇒ -2x² - 6x + x + 3
⇒ -2x² - 5x + 3
D) 3(x + 1)² - 4
⇒ 3(x² + 2x + 1) - 4
⇒ 3x² + 6x + 3 - 4
⇒ 3x² + 6x - 1
Read more about Quadratic Equations at; brainly.com/question/1214333
#SPJ1
Answer:
10x+3
Step-by-step explanation:
Hello from MrBillDoesMath!
* I only have time to help you with 3 problems. *
Answer:
1. SWIMMING: total number of laps = 10x-3
3. BEDROOM: Perimeter = 6x +2
4. HOCKEY: Total number of goals = 6x + 1
Discussion:
1. SWIMMING:
The total number of laps swam all 4 weeks is the sum of the laps from each week:
(x+2) + 3x + (2x+1) + (4x-6) .
Separate and combine "x" terms and constants
(x + 3x + 2x + 4x) + (2 + 1 -6) =
10x + (3-6) or 10x - 3
3. BEDROOM
Imagine you are at one corner of the rectanle and you walked all the way around to rectangle back to your start point. That distance gives the perimeter.
Perimeter = (2x-3) + ( x + 4) + (2x-3) + ( x+4)
= ( 2x + x + 2x + x ) + ( -3 + 4 -3 + 4) =
= 6x +2
4. HOCKEY
Total number of goals = sum of goals from all three games =
2x + (x+2) + (3x - 1) =
(2x + x + 3x) + (2 - 1) = 6x + 1
Thank you,
MrB