Maths-

General

Easy

Question

# Find the product

−2𝑥^{2}(𝑥^{2} + 3𝑥 + 4)

Hint:

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

Identity: xa × xb = x(a+b)

## The correct answer is: -2x4 - 6x3 - 8x2.

### Answer:

- Step by step explanation:

Given:

−2x^{2 }(x^{2} + 3x + 4)

- Step 1:
- Multiplication:
(−2x^{2} × x^{2}) + (−2x^{2} × 3x) + (−2x^{2} × 4)

(-2x^{4}) + (-6x^{3}) + (-8x^{2})

-2x^{4} - 6x^{3} - 8x^{2 }

- Final Answer:
-2x^{4} - 6x^{3} - 8x^{2}.

^{2 }(x

^{2}+ 3x + 4)

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

(-2x^{4}) + (-6x^{3}) + (-8x^{2})

-2x^{4} - 6x^{3} - 8x^{2 }

-2x^{4} - 6x^{3} - 8x^{2}.

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