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Type the correct answer in each box.
Consider the difference of squares identity:
a2 - 62 = (a + b)(a - b).
For the polynomial 9x2 - 49,
and b =
a =
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kudzordzifrancis

Answer:

[tex]a=3x, b=7[/tex]

Step-by-step explanation:

The given polynomial is [tex]9x^2-49[/tex]

We rewrite the polynomial as a difference f two squares.

[tex]9x^2-49=(3x)^2-7^2[/tex]

We need to compare this to the difference of squares identity:

[tex](a^2-b^2)=(a+b)(a-b)[/tex]

Putting a=3x and b=7, we have :

[tex](3x)^2-7^2=(3x+7)(3x-7)[/tex]

Therefore [tex]a=3x, b=7[/tex]

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