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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

10x²+ 5x – 8x – 4
10x²– 3x – 4

Final Answer:

10x²– 3x – 4.

Related Questions to study

Simplify:
(i) (2m³ + 2m) (4m - 2)

Simplify:
(i) (2m³ + 2m) (4m - 2)

The area of a rectangle is $12 x cubed minus 18 x squared plus 6 x$ . The width is equal to the GCF. What could the dimensions of the rectangle be?

The area of a rectangle is $12 x cubed minus 18 x squared plus 6 x$ . The width is equal to the GCF. What could the dimensions of the rectangle be?

Find the area of the green rectangle.

Find the area of the green rectangle.

parallel

Find the area of the green rectangle.

Find the area of the green rectangle.

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$3 x squared minus 2 x minus 4 text and ? end text$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$3 x squared minus 2 x minus 4 text and ? end text$

Multiply: x² - 8x + 8 by 6x² -3x + 4

Multiply: x² - 8x + 8 by 6x² -3x + 4

parallel

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$18 x squared plus 12 x minus 24 text and ? end text$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$18 x squared plus 12 x minus 24 text and ? end text$

Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Find the area of the green rectangle.

Find the area of the green rectangle.

parallel

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$2 x text and end text ?$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$2 x text and end text ?$

(ℎ + 𝑘)(ℎ − 𝑘) =

(ℎ + 𝑘)(ℎ − 𝑘) =

Find the product. (2𝑥 − 4)(2𝑥 + 4)

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Find the product. (2𝑥 − 4)(2𝑥 + 4)

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

parallel

Use the square of a binomial to find the value of 51².

Use the square of a binomial to find the value of 51².

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$ .
$text ? and end text 6 x squared plus 4 x minus 8$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$ .
$text ? and end text 6 x squared plus 4 x minus 8$

parallel

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