morganroy
morganroy morganroy
  • 09-05-2017
  • Mathematics
contestada

Which of the following shows a factor of 100b2 - 144a4?

Respuesta :

Raeffion
Raeffion Raeffion
  • 09-05-2017
C. 10b+12a^2

This is the best answer of the choices.
Answer Link
valetta valetta
  • 12-04-2019

Answer:

(10b-12a²)(10b+12a²)

Option C is correct. (10b+12a²)

Step-by-step explanation:

We need to find the factor of 100b² - 144[tex]a^{4}[/tex]

Now we will rewrite the expression like this;

(10b)² - (12a²)²

Now we use the difference of square identity

x² - y² = (x+y)(x-y)

So, we use this identity and find the factor

(10b)² - (12a²)² = (10b + 12a²)(10b - 12a²)

Hence, (10b+12a²) is the final answer.

I hope it will help you.

Answer Link

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