Maths-

General

Easy

Question

# Find the product.

−4𝑥 (2𝑥^{2} − 3𝑥 + 5)

Hint:

### In multiplication of polynomials, multiply term with each other.

Identity: xa × xb = x(a+b)

## The correct answer is: -8x3 + 12x2 - 20x.

### Answer:

- Step by step explanation:

- Given:

−4x (2x^{2} - 3x + 5)

- Step 1:
- Multiplication:

(−4x × 2x^{2}) + (−4x × -3x) + (−4x × 5)

(-8x^{3}) + (12x^{2}) + (-20x)

-8x^{3} + 12x^{2} - 20x

- Final Answer:

-8x^{3} + 12x^{2} - 20x.

:

^{2}- 3x + 5)

^{2}) + (−4x × -3x) + (−4x × 5)

^{3}) + (12x

^{2}) + (-20x)

^{3}+ 12x

^{2}- 20x

^{3}+ 12x

^{2}- 20x.

:

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