Expand and simplify (x – 3)(2x + 1)(3x – 2)

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Answer: 6x³-19x²+x+6

Step-by-step explanation: use the FOIL method

1. (a+b)(c+d)=ac+ad+bc+bd.

(x – 3)(2x + 1)(3x – 2) becomes (2x²+x−6x−3)(3x−2)

2. Collect like terms.

(2x²+(x−6x)−3)(3x−2)

3. Simplify 2x²+(x−6x)−3 to 2x²−5x−3.

(2x²−5x−3)(3x−2)

4. Distribute sum groups.

2x²(3x−2)−5x(3x−2)−3(3x−2)

5. Expand.

6x³−4x²−5x(3x−2)−3(3x−2)

6. Expand.

6x³−4x²−(15x²−10x)−3(3x−2)

7. Expand.

6x³−4x²−(15x²−10x)−(9x−6)

8. Remove parentheses.

6x³-4x²-15x²+10x-9x+6

9. Collect like terms.

6x³+(-4x²-15x²)+(10x-9x)+6

10. Simplify.

6x³-19x²+x+6

Hope this helps, have a BLESSED and wonderful day! :3

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