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Maths-

General

Easy

Question

Find the product
−2𝑥²(𝑥² + 3𝑥 + 4)

hint 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:
−2x²(x² + 3x + 4)

Step 1:

Multiplication:
(−2x² × x²) + (−2x² × 3x) + (−2x² × 4)
$rightwards double arrow$ (-2x⁴) + (-6x³) + (-8x²)
$rightwards double arrow$ -2x⁴ - 6x³ - 8x²

Final Answer:
-2x⁴ - 6x³ - 8x².

Related Questions to study

Subtract 4y(y - z + x) - 3x(x - y + z) from 5z(z - y - x)

Subtract 4y(y - z + x) - 3x(x - y + z) from 5z(z - y - x)

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 3.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 3.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 2x.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 2x.

parallel

Express in the form of a single algebraic expression: (3x + 4y) (4x²y + 3xy²)

Express in the form of a single algebraic expression: (3x + 4y) (4x²y + 3xy²)

Consider the following set of monomials.

$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 1 .

Consider the following set of monomials.

$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 1 .

Simplify: (x + y)(2x + y) + (x + 2y)(x – y)

Simplify: (x + y)(2x + y) + (x + 2y)(x – y)

parallel

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
35, 120, 125

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
35, 120, 125

Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39

Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39

parallel

Simplify the expression 4yx + 2yx - 28yx + 3yx

Simplify the expression 4yx + 2yx - 28yx + 3yx

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11

Factor out the GCF from the given polynomial.
$3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$

Factor out the GCF from the given polynomial.
$3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$

parallel

Sketch and label the triangle described.
Side lengths: about 3 m, 7 m, and 9 m, with longest side on the bottom
Angle measures: 16°, 41°, 123°, with smallest angle at the left

Sketch and label the triangle described.
Side lengths: about 3 m, 7 m, and 9 m, with longest side on the bottom
Angle measures: 16°, 41°, 123°, with smallest angle at the left

In △ 𝑅𝑆𝑇, which is a possible side length for ST?

In △ 𝑅𝑆𝑇, which is a possible side length for ST?

Write a trinomial that has a GCF of 4x²

Write a trinomial that has a GCF of 4x²

parallel

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