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3 years ago

Find the product mentally. (ab + 3)(ab - 3)

Mathematics

2 answers:

Evgen [1.6K]3 years ago

4 0

Use the FOIL method

a^2b^2 - 9

lys-0071 [83]3 years ago

4 0

This is a difference if squares.

Multiply the terms in the parenthesis with the respective equal one.

I mean: ab*ab and +3*(-3)

a^2b^2 - 9

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Evaluate \dfrac14c+3d

Crank

Answer: $\frac{45}{2}$

Step-by-step explanation:

<h3> The exercise is: " Evaluate $\frac{1}{4}c + 3d$ when $c = 6$ and $d = 7$ </h3>

Given the following expression:

$\frac{1}{4}c + 3d$

You can follow these steps in order to evaluate it:

1. Substitute $c = 6$ and $d = 7$ into the expression provided in the exercise:

$\frac{1}{4}(6) + 3(7)$

2. Solve the multiplications. Remember that:

$\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}$

Then:

$=\frac{6}{4} +21$

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

$=\frac{3}{2} +21$

4. Solve the addition:

$=\frac{3}{2} +\frac{21}{1}$

Since the number 21 has a denominator 1, the Least Common Denominator is:

$LCD=2$

Then, the sum is:

$=\frac{3+42}{2}=\frac{45}{2}$

5 0

3 years ago

Read 2 more answers

Using the distributive law to factor 44x+11y+55z=

prisoha [69]

To factor the expression, we need to find the gcf of 44,55 and 11.

In this case, the gcf is 11. so we could write the expression as...

11(4x+y+5z)

5 0

3 years ago

Help me :D i appreciate anyone who can!

dmitriy555 [2]

Answer:

I don’t understand what do we have to do?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Hi help me plsss :(((

babymother [125]

Answer:

The square root of 121 is 11, the square root of x^2 is x, the square root of y^3 is y and sqrt y, the square root of z^4, is z^2:

11xyz^2 sqrt(y)

Your answer is C

Note: If something is inside a radical, it is raised to an exponent of 1/2. You can rewrite anything inside the radical as raised to 1/2.

8 0

3 years ago

Read 2 more answers

In the school chorus 4 24th of the students are fourth graders I'n the simplest form what fraction of the students in the school

Kamila [148]

Answer:

1/6

Step-by-step explanation:

Given:

Fraction of students that are in fourth grade = $\frac{4}{24}$

In order to reduce this fraction in to simplest form, we need to find the highest common factor for both the numerator and denominator and divide each of the numerator and denominator by the highest common factor (HCF)

The numerator is 4 and the denominator is 24.

Factors of 4 = 1, 2, <u>4</u>

Factors of 24 = 1, 2, 3, <u>4</u>, 6, 8, 12, 24

As seen from the above, the highest common factor for 4 and 24 is 4.

So, we divide both numerator and denominator by the highest common factor which is 4. This gives,

$\dfrac{4}{24}=\dfrac{4\div 4}{24\div 4}\\\\\\\dfrac{4}{24}=\dfrac{1}{6}$

Therefore, the fraction of students that are in fourth grade in simplest form is $\frac{1}{6}$ .

5 0

3 years ago