Option D: 
is the right answer
Step-by-step explanation:
Given polynomials are:
We have to find the sum of polynomials
So,
Combining like terms
Hence,
Option D: is the right answer
Keywords: Polynomials, sum
Learn more about polynomials at:
#LearnwithBrainly
Associative Property states that grouping symbols does not affect the outcome. This property works for Addition and Multiplication:
2 + (3 + 4) = (2 + 3) + 4
6 • (5 • 4) = (6 • 5) • 4
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
- = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
- = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ - is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since - is divisible by 9, we have;
- 
= 
- is divisible by 9
Therefore is divisible by 9 and is divisible by 9 for all positive integers n
Step-by-step explanation:
Answer:
14,793
Step-by-step explanation:
Step-by-step explanation:
AB = AC ( Given)
angle BAD = angle DAC. (AD bisects BAC)
AD = AD. ( common side )
abd is congruent to adc. ( SAS Axiom)
