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Ugo [173]
2 years ago
14

1. since A^2= 36x^2, a=? 2. since b^2= 49, b=?

Mathematics
2 answers:
Wewaii [24]2 years ago
7 0

Answer:

D

Step-by-step explanation:

36x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

36x² - 49

= (6x)² - 7²

= (6x - 7)(6x + 7)

Thus 6x - 7 is a factor of the expression

Leto [7]2 years ago
5 0

We need to simplify the expression <em>36x² - 49</em> , but let's recall the identity which is the main key to solve this question i.e

  • {\boxed{\bf{a^{2}-b^{2}=(a+b)(a-b)}}}

So , here we can write the above expression as

{:\implies \quad \sf (6x)^{2}-(7)^{2}}

Now , using the above identity this can be written as :

{:\implies \quad \sf (6x-7)(6x+7)}

So , here both <em>(6x-7)</em> and <em>(6x+7)</em> are factors of 36x²- 49 , but in the options their is only <em>6x - 7.</em>

<em>Hence , Option D) 6x - 7 is correct </em>

As here , <em>36x² = (6x)² = a²</em> , so <em><u>a = 6x</u></em> and as <em>49² = 7² = b²</em> , so <em><u>b = 7 </u></em>

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