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3 years ago

Factorise: 3x^2 + 3x 2x + 2

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

1. 3x^2 + 3x + 0
3x(x + 1)

2. 2x + 2
2(x + 1)

salantis [7]3 years ago

6 0

3x² + 3x

3*x*x + 3*x

3x( x + 1)

2x + 2

2*x + 2*1

2(x + 1)

Hope this explains it.

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

James bought a movie ticket and wants to pay for some friends. A ticket costs $6, and he has $38. How many friends can he pay fo

Firlakuza [10]

Answer:

6 friends, $2 left

Step-by-step explanation:

He has $38 dollars, but each ticket costs $6. Divide them to see how many tickets he can buy.

38/6 = 6 remainder 2

He can pay for 6 friends, and the remainder is $2.

6 0

3 years ago

Answer this please alwhwksosjwnkwisn

kramer

Answer:

The measure of the fourth angle = 137.1°

Step-by-step explanation:

Let x = the measure of the fourth angle

Sum of all 4 interior angles in a quadrilateral equal 360°

x + 23.5° + 99° + 100.4° = 360°

x + 222.9° = 360°

x = 360° - 222.9°

x = 137.1°

3 0

3 years ago

Help me please I really need to get a c or something good please

matrenka [14]

Just plot the points on a graph.

7 0

3 years ago

Read 2 more answers

Help pls! will give brainliest! find the percent markdown of 175.80-141.27

polet [3.4K]

Answer:

141.2/175.8=.803185

1-.803185=.1968=20% markdown

ples give brainliest! :D

8 0

3 years ago