4 years ago

(2x² + 3x - 5)(-x² + 7x + 2)

Mathematics

1 answer:

Alexxandr [17]4 years ago

6 0

Answer:

-2x^4 + 11x^3 + 30x^2 - 29x - 10

Step-by-step explanation:

1. Use the Distributive Property

(2x^2 + 3x - 5)(-x^2 + 7x + 2)

2. Remove parenthesis

2x^2(-x^2 + 7x + 2) + 3x(-x^7x+2) - 5(-x^2 + 7x + 2)

3. Collect like terms

-2x^4 + 14x^3 + 4x^2 - 3x^3 + 21x^2 + 6x + 5x^2 - 35x - 10

4. -2x^4 + 11x^3 + 30x^2 - 29x - 10

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(2x² + 3x - 5)(-x² + 7x + 2)​

(2x² + 3x - 5)(-x² + 7x + 2)