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3 years ago

Simplify each expression

Mathematics

1 answer:

joja [24]3 years ago

8 0

Answer:

14y

10x

8x+4

6x+6

8x+4

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Help!!!!!!!!!!!!!!!!

kaheart [24]

Answer:

$\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

Step-by-step explanation:

First, simplify each term:

$\sin\left(\dfrac{\pi}{2}+\alpha\right)=\cos \alpha\\ \\\cos \left(\dfrac{\pi}{2}+\alpha\right)=-\sin \alpha\\ \\\cos \left(\alpha-\dfrac{3\pi}{2}\right)=-\sin \alpha\\ \\\sin \left(\dfrac{3\pi}{2}+\alpha\right)=-\cos \alpha$

Then given expression is equivalent to

$\cos ^3\alpha+(-\sin \alpha)^3-(-\sin \alpha)+(-\cos \alpha)\\ \\=\cos ^3\alpha-\sin^3 \alpha+\sin \alpha-\cos \alpha\\ \\=(\cos\alpha-\sin\alpha)(\cos^2\alpha+\cos\alpha\sin\alpha+\sin^2\alpha)-(\cos\alpha-\sin\alpha)\\ \\=(\cos\alpha-\sin\alpha)(1+\cos\alpha\sin\alpha-1)\ \ [\cos^2\alpha+\sin^2\alpha=1]\\ \\=\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

6 0

3 years ago

my question is to solve this and there is working out because if there is no working out then it is harder for me to understand

Dvinal [7]

Answer:

x = -10

Step-by-step explanation:

i know math

3 0

3 years ago

For each sequence, find the first 4 terms and the 10th term.<br> a) 3n + 4<br> b) 4n-5

Studentka2010 [4]

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

5 0

3 years ago

Multiply and and simplify : (a+b)^2<br> Pls help easy

Lena [83]

Answer:a^2+2ab+b^2

Step-by-step explanation:

First write it out in extended form, (a+b)(a+b) then multiply each term by the other in each parenthesis, such as a*a+b*b+a*b+a*b

Then, once you have done that, simplify it. you will then get the answer a^2+2ab+b^2

3 0

3 years ago

I need help. Please solve this using GEMS. Take a photo of your work and attach it to your answer. Please help.

Viefleur [7K]

Answer is 120.

(Sorry if photo quality is bad. The camera on my device sucks.)

6 0

3 years ago

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