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Rus_ich [418]
1 year ago
5

Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

Mathematics
1 answer:
Korolek [52]1 year ago
8 0

the expression simplified is:

12x^3 - 25x^2 + 9

<h3>How to simplify the given expression?</h3>

Here we have the expression:

(4x - 3)*(3x^2 - 4x - 3)

We just need to distribute the product, we will get:

(4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3)  - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9

Now we just need to group terms with the same exponent of x:

12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9

That is the expression simplified

If you want to learn more about simplification:

brainly.com/question/723406

#SPJ1

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1 year ago
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2 years ago
Plz help i have to submit in 20 minutes !!!
amm1812

Answer:

Step-by-step explanation:

1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²

       h² = 10² + 24²

       h = √676

       h = 26

 (b). Hypotenuse² = (Leg 1)² + (Leg 2)²

       (25)² = (15)² + (leg 2)²

       Leg 2 = √(625 - 225)

                 = √400

                 = 20

  (c). Hypotenuse² = (Leg 1)² + (Leg 2)²

        h² = 4² + 6²

        h = √(16 + 36)

        h = √52

        h = 2√13

  (d). Hypotenuse² = (Leg 1)² + (Leg 2)²

        (14)² = (Leg 1)² + 7²

         Leg 1 = √(196 - 49)

                   = √147

                   = 7√3

2). Hypotenuse² = (Leg 1)² + (Leg 2)²

    Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]

    h² = 7² + 7²

    h = √98

    h = 7√2

    Option (1) is the correct option.

3). Hypotenuse² = (Leg 1)² + (Leg 2)²

    (26)² = (Leg 1)² + (10)²

    Leg 1 = √(676 - 100) = 24

    Area of a right triangle = \frac{1}{2}(\text{Leg 1})(\text{Leg 2})

                                           = \frac{1}{2}(24)(10)

                                           = 120 square units

     Option (3) is the correct option.

8 0
2 years ago
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