Answer:
25x^2 -1
Step-by-step explanation:
If you multiply parentheses:
(5x*5x) + (5x*-1) + (1*5x) + (1*-1)
25x^2 - 5x + 5x -1
25x^2 -1
A simpler way is to memorize this formula
(Square1 - square2)= (sqrt of square1- sqrt of square2)*(sqrt of square1 + sqrt of sqaure2)
Answer:
-8X^4y^2
Step-by-step explanation:
-2X² × 4X²y² = -8X^4y^2
edit to add:
first: multiply the coefficients together:
-2 x 4 = -8
second: add the exponents of X together (when you multiply exponents, you just add them together):
² & ² = ^4
and you have the answer:
-8X^4y^2
Answer:
18 + 5 = 23
Step-by-step explanation:
Step-by-step explanation:
Let the width be x feet.
Therefore, length = 2x - 10
Perimeter of rectangle = 52
Answer:
Step-by-step explanation:
a)
<u>Area of the frame with picture:</u>
- A = lw
- A₁ = (x + 4)(x + 7) = x² + 11x + 28
<u>Area of the picture:</u>
<u>Area of the wooden frame is the difference of the above values:</u>
- A₃ = A₁ - A₂
- A₃ = x² + 11x + 28 - x² - 3x
- = 8x + 28
b)
<u>When x = 5, the picture frame area is:</u>
- A₃ = 8*5 + 28 = 40 + 28 = 68 in²
