All categories

2 years ago

Find the product of (4x + 3y)(4x − 3y).

Mathematics

2 answers:

EastWind [94]2 years ago

5 0

Answer:

It's B

Step-by-step explanation:

B, 16x2-9y2

USPshnik [31]2 years ago

3 0

Answer: The correct option is (B) $16x^2-9y^2.$

Step-by-step explanation: We are given to find the following product :

$P=(4x+3y)(4x-3y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the given product, we will be using the following formula :

$(a+b)(a-b)=a^2-b^2.$

The product (i) can be calculated as follows :

$P\\\\=(4x+3y)(4x-3y)\\\\=(4x)^2-(3y)^2\\\\=16x^2-9y^2.$

Thus, the required product is $16x^2-9y^2.$

Option (B) is CORRECT.

You might be interested in

What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac

Vaselesa [24]

Hello!

Answer: ⇒⇒⇒⇒⇒⇒⇒ =54

_________________________________________________________________

Step-by-step explanation:

First you had to convert element to fraction.

$\frac{2}{3}*\frac{81}{1}$

Then you had to cross out by the common factor of 3.

$\frac{2}{1}=\frac{27}{1}$

Multiply by the fraction.

$\frac{2*27}{1*1}$

Multiply by the number.

$2*27=54$

$=\frac{54}{1*1}$

Again multiply by the number.

$1*1=1$

$=\frac{54}{1}$

Apply rule.

$\frac{54}{1}=54$

54 is the right answer.

______________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

_________________________________________________________________

4 0

3 years ago

Line L1 has the equation 3x-30y=6 Express the equation of L1 in the slope-intercept form

charle [14.2K]

Y= 1/10x + 2/10 is what you are left with once the equation is simplified

4 0

3 years ago

Only answer if yk it please! correct answer will get brainliest!

DanielleElmas [232]

Answer:

so x = 4 and x = -2/3

Step-by-step explanation:

Solve for x using the Master Product:

3x^2-10x-8=0

we see 3*(-8) = -24 and 2 * (-12) = -24 and 2 + -12 = -10

so 3x^2 + 2x - 12x - 8 = 0

x (3x + 2) -4 (3x + 2) = 0

(x - 4)(3x + 2) = 0

so x = 4 and x = -2/3

7 0

3 years ago

Consider the problem of finding the line of symmetry and vertex of the quadratic equation f(x) =x^2-8x+15 What is the error in t

Jet001 [13]

We are given the quadratic:

$f(x)=x^2-8x+15$ , with a=1, b=-8, c=15.

We know that the x-coordinate of the vertex, which is the point where the line of symmetry passes through is

$\displaystyle{ -\frac{b}{2a}$ .

Thus, the x-coordinate of the vertex is $-\frac{b}{2a} =-\frac{-8}{2\cdot1}= \frac{8}{2}=4$ .

Thus, the line of symmetry is x=4.

Answer: B. The line of symmetry should have been 4 instead of –4.

6 0

2 years ago

Which is an equation for the line with a slope of 1/2 that passes through the origin

gladu [14]

Answer:

y=1/2x

Step-by-step explanation:

4 0

3 years ago