Given:
The expression is
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
Taking out the common factors, we get
It can be written as
![[\because a^3-b^3=(a-b)(a^2+ab+b^2)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E3-b%5E3%3D%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29%5D)
Therefore, the correct option is B.
Given:
x² + 11x + 121 = x + 96
First, we need to convert it into a quadratic equation.
x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0
a = 1 ; b = 10 ; c = 25
Quadratic formula:
x = (-b <u>+</u> (√b² - 4ac)) ÷ 2a
The discriminant is under the radical sign
discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0
Correct answer is A. 0
Answer: it means to make larger or smaller.
Step-by-step explanation:
it means to make larger or smaller.
D 11 1/4
Step-by-step explanation:
3/4 + 1 1/2 is 2 1/4
2 1/4 x 5 is 11 1/4
The height of a rectangular pyramid is 30 cm.
volume of rectangular pyramid = (length x width x height) / 3
Given:
Volume = 900 cm³
Length = 10 cm
Width = 9 cm
Height = ?
V = lwh/3
900 cm³ = (10cm * 9cm * h)/3
900 cm³ * 3 = (90cm² * h)/3 * 3
2700 cm³ = 90cm² * h
2700 cm³/90cm² = 90cm² * h/90 cm²
30 cm = h
to check:
900 cm³ = (10 cm * 9 cm * 30 cm)/3
900 cm³ = 2700 cm³/3
900 cm³ = 900 cm³
