Maths-

General

Easy

Question

# Use distributive property to find the product of two polynomials.

(5𝑥 − 4) (2𝑥 + 1)

## The correct answer is: 10x2 – 3x – 4.

### Answer:

- Hints:
- Distributive property
- a × (b + c) = ab + ac
- a × (b - c) = ab - ac
- Step-by-step explanation:
- Given:

(5x – 4) (2x + 1)

- Step 1:
- Use distributive property.

(5x – 4) (2x + 1)

5x × (2x + 1) – 4 × (2x + 1)

- a × (b - c) = ab - ac

10x^{2 }+ 5x – 8x – 4

10x^{2 }– 3x – 4

- Final Answer:

10x^{2 }– 3x – 4.

- Distributive property
- a × (b + c) = ab + ac
- a × (b - c) = ab - ac
- Step-by-step explanation:
- Given:

- Step 1:
- Use distributive property.

5x × (2x + 1) – 4 × (2x + 1)- a × (b - c) = ab - ac

^{2 }+ 5x – 8x – 4

10x^{2 }– 3x – 4- Final Answer:

^{2 }– 3x – 4.

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