" the product " means multiply
(2ab + b)(a^2 - b^2) = 2a^3b - 2ab^3 + a^2b - b^3
when multiplied : (2a + b)(2a^3b - 2ab^3 + a^2b - b^3) =
4a^4b - 4a^2b^3 + 2a^3b - 2ab^3 + 2a^3b^2 - 2ab^4 + a^2b^2 - b^4
...result is a polynomial with 8 terms
Answer:
21345
Step-by-step explanation:
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
Answer:
x = 10
Step-by-step explanation:
OA = OD ( both radii of the circle )
OD = OB + BD = x + 16
OB is at right angles to OB ( line from centre to midpoint of chord is right )
Using Pythagoras' identity in right triangle ABO
OA² = OB² + AB² , that is
(x + 16)² = x² + 24²
x² + 32x + 256 = x² + 576 ( subtract x² from both sides )
32x + 256 = 576 ( subtract 256 from both sides )
32x = 320 ( divide both sides by 32 )
x = 10
Answer:
264 in²
Step-by-step explanation:
Parameters given:
Base, b = 24 inches
Height, h = 12 inches
Top side length, a = 20 inches
We are told that the front face of the basket is in the shape of a trapezoid.
The area of a trapezoid is:
A = ½ * (a + b) * h
The area of the front face of the basket is:
A = ½ * (20 + 24) * 12
A = ½ * 44 * 12
A = 264 in²
The area of the front face of the basket is 264 in².
