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prisoha [69]
3 years ago
6

What is the product of the binomials (4a – 1) and (2b + 3)?

Mathematics
2 answers:
galben [10]3 years ago
8 0

Answer:

D. 8ab+12a-2b-3

Step-by-step explanation:

You are basically combining like terms

Lesechka [4]3 years ago
3 0

Answer:

D.) is the correct answer 8ab + 12a – 2b – 3

Step-by-step explanation:

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Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0
1 year ago
•<br> Evaluate 15 / (-3) + 5|1-21 / (-5)
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Answer:

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Step-by-step explanation:

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3 years ago
There is a closed carton of eggs in Mai's refrigerator. The carton contains e eggs and it can hold 12 eggs. What are some possib
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Step-by-step explanation:

plato

7 0
3 years ago
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What is the proper seperation of factors for this equation ∛24n² × ∛36n²
Gwar [14]

Answer:

{ \tt{ \sqrt[3]{24 {n}^{2}  }  \times  \sqrt[3]{36 {n}^{2} } }} \\  = { \tt{(  {n}^{ \frac{2}{3} })( \sqrt[3]{864})  }}

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