What is the product of (2x - 5)(2x + 5)2 ?
2 answers:
Answer:
4
Step-by-step explanation:
Step 1:
Expand (2x+5)(2x-5) using the foil method
apply the distributive property
2x(2x-5)+5(2x-5)
Apply the distributive property
2x(2x)+2x·-5+5(2x-5)
Apply the distributive property
2x(2x)+2x×-5+5(2x)+5×-5
Simplify and combine like terms
Simplify each term
Multiply x by x
2 x 2 + 2x x -5+5(2x)+5x-5
Multiply 2 by 2
4 +2xx-5+5(2x)+5x-5
Multiply 2 by 5
4 -10x+10x+5x-5
Multiply 5 by -5
4 -10+10x-25
Add -10x and 10x.
4 + 0 - 25
Add 4 and 0
4 -25
Step 2:
multiply the numbers:
4 -25 x 2
4 -50
Solution:
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Answer:
1) {y,x}={-3,-23}
2) {x,y}={7,-9/2}
Step-by-step explanation:
Required:
- Solve systems of equations
1) y - x = 20, 2x - 15y = -1
Equations Simplified or Rearranged :
[1] y - x = 20
[2] -15y + 2x = -1
Graphic Representation of the Equations :
x + y = 20 2x - 15y = -1
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = x + 20
// Plug this in for variable y in equation [2]
[2] -15•(x +20) + 2x = -1
[2] - 13x = 299
// Solve equation [2] for the variable x
[2] 13x = - 299
[2] x = - 23
// By now we know this much :
y = x+20
x = -23
// Use the x value to solve for y
y = (-23)+20 = -3
Solution :
{y,x} = {-3,-23}
2) 25-x=-4y,3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
