All categories

3 years ago

What is the product mentally of (ab + 3)(ab - 3)

Mathematics

2 answers:

AleksAgata [21]3 years ago

3 0

Answer:

ab² - 9

Step-by-step explanation:

Given in the question an expression

(ab + 3)(ab - 3)

To product mentally we will use polynomial identity called

Difference of squares

here a = ab

b = 3

(ab + 3)(ab - 3) = ab² - 3² = ab² - 9

xxTIMURxx [149]3 years ago

3 0

<u>Answer:</u>

$a^2b^2 - 9$

<u>Step-by-step explanation:</u>

We are given the following expression and we are to determine its product mentally:

$( a b + 3 ) ( a b - 3 )$

For this, we can use the FOIL method, which stands for First, Outer, Inner, Last.

First means multiply the terms which come first in each of the binomial, Outer means multiply the outermost terms in the product. Inner means multiply the innermost two terms. Last means multiply the terms which occur last in each binomial.

So we get:

$ab*ab +3*(-3)=a^2b^2 - 9$

You might be interested in

A flower vase bought for Rs. 72 and sold for Rs. 63. Find the loss percent.

nasty-shy [4]

Answer:

12.5% is loss....

hope it helps.

3 0

3 years ago

Read 2 more answers

4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4

eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

$a_n=a_1+d(n-1)$ and we are given enough info to fill in:

$a_n=-35+4(n-1)$ and

$a_n=-35+4n-4$ and

$a_n=-39+4n$ or in linear format:

$a_n=4n-39$ where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

$a_2=4(2)-39$ so

$a_2=8-39$ and

$a_2=-31$

The third term:

$a_3=4(3)-39$ and

$a_3=12-39$ so

$a_3=-27$ and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.