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2 years ago

6x²-23x+15 x²-9 Simplify the following expression by factoring

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

8 0

The simplified form of the expression, 6x²-23x+15, is (6x - 5)(x - 3)

The simplified form of the expression, x²-9, is (x + 3)(x - 3)

<h3>Factoring an Expression</h3>

From the question, we are to simplify the given expression by factoring

The given expression is

6x² - 23x + 15

Factoring

6x² - 23x + 15

6x² - 18x - 5x + 15

6x(x - 3) -5(x - 3)

(6x - 5)(x - 3)

∴ The simplified form of the expression is (6x - 5)(x - 3)

We are to simplify

x² - 9

By difference of two squares, we have that

a² - b² = (a + b)(a - b)

x² - 9 can be expressed as

x² - 3²

Thus,

Using difference of two squares

x² - 3² = (x + 3)(x - 3)

Hence, the simplified form of the expression is (x + 3)(x - 3)

Learn more on Factoring an expression here: brainly.com/question/22048680

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