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Digiron [165]
3 years ago
13

Factor completely. 5x2 - 45 A. 5(x + 3)(x - 3) B. 5(x2 - 45) C. 5(x - 9)(x + 9) D. (5x + 9)(x - 5)

Mathematics
2 answers:
garri49 [273]3 years ago
5 0

Answer:

A. 5(x + 3)(x - 3)

Step-by-step explanation:

Given equation is,

5x^2-45

=5x^2-5\times 9

=5(x^2-9)

=5(x^2-(3)^2)  

=5(x+3)(x-3)         ( a² - b² = (a+b)(a-b) )

Since, further factorization is not possible,

Hence, the required factored form of the given expression is,

5(x+3)(x-3)

Option A is correct.

zimovet [89]3 years ago
4 0

Answer:

The correct answer is A. 5(x + 3)(x - 3)

Step-by-step explanation:

In order to solve this, we start by pulling out the greatest common factor.

5x^2 - 45

5(x^2 - 9)

Now we can use the difference of two squares to factor the rest of the equation.

5(x + 3)(x - 3)

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