Product of two polynomials can be done by distribution of multiplication over addition. The product of $(4x -3)(2x^2 -7x + 1)$ is $8x^3 - 34x^2 + 25x - 3$

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

$(4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3$

Thus,

The product of $(4x -3)(2x^2 -7x + 1)$ is $8x^3 - 34x^2 + 25x - 3$

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2 years ago

use digits to write a number for the following. : seven tenths . three hundreths, and eight thousandths and then (. )

kondor19780726 [428]

Answer:

0.0378

Step-by-step explanation:

#;+*($$&#(#'#)#&#)#&#-#)#8#&2'#;$7$5$&

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2 years ago

There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the st

ohaa [14]

To find the how many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.

The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Given:

The given exponent for gigabyte is,

$10^9$

The given exponent of megabyte is,

$10^6$

<h3>What is exponent rule?</h3>

The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.
to change the negative exponent into a positive we have to invert the base.

Calculate the storage capacity.

$\dfrac{10^9}{ 10^6}=10^9-6}\\
\dfrac{10^9}{ 10^6}=10^3\\
\dfrac{10^9}{ 10^6}=1000$

Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

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2 years ago

You and your sister have square sheds. Your shed has a side length of 9 feet. Your sister's shed has an area of 114 square feet.

Vika [28.1K]

My back put jalapeño from the asofragus or the diameter of
114

3 0

3 years ago

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