Answer:
Step-by-step
i) a² - 2ab + b² = (a + b)²
a² = p² ; a = p
b² = 16 = 4² ; b = 4
2ab = 2*p*4 = 8p
p² - 8p + 16 = (p - 4)²
ii) a² + 2ab + b² = (a +b)²
a² = 121x² = (11x)² ; b² = 4y² = (2y)²
2ab = 2 * 11x * 2y = 44xy
121x² + 44xy + 4y² = (11x + 2y)²
Answer:
Step-by-step explanation:
Just use the distributive property.
(4y^2-3)(4y+3)
= 4y^2(4y+3) - 3(4y+3)
= 16y^3 + 12y^2 - 12y - 9
Answer:
<h3>n>-5/2</h3>
Step-by-step explanation:
First, you have to isolate it on one side of the equation. Remember that, isolate n on one side of the equation.
6n-3>-18
6n-3+3>-18+3 (Add 3 from both sides.)
-18+3 (Solve.)
-18+3=-15
6n>-15
6n/6>-15/6 (Divide by 6 from both sides.)
-15/6 (Solve.)
-15/6=-5/2
n>-5/2
In conclusion, the correct answer is n>-5/2.
Hello,
if n=15: (4,1),(31,8),(244,63)
if n=7: (8,3),(127,48),(2024,765)
if n=99: (10,1),(199,20),(3970,399)
(Pell 's equation)