<img src="https://tex.z-dn.net/?f=%5Csf%5Clarge%5Cgreen%7B%5Cunderbrace%7B%5Cred%7BQuestion%2A%7D%7D%7D%3A" id="TexFormula1" tit

All categories

2 years ago

le="\sf\large\green{\underbrace{\red{Question*}}}:" alt="\sf\large\green{\underbrace{\red{Question*}}}:" align="absmiddle" class="latex-formula">
Factorize
$4 {a}^{2} - \frac{ {y}^{2} }{16}$

Mathematics

1 answer:

astraxan [27]2 years ago

6 0

Answer:

(2a - $\frac{y}{4}$ )(2a + $\frac{y}{4}$ )

Step-by-step explanation:

4a² - $\frac{y^2}{16}$ ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - $\frac{y^2}{16}$

= (2a)² - ( $\frac{y}{4}$ )²

= (2a - $\frac{y}{4}$ )(2a + $\frac{y}{4}$ )

You might be interested in

Which method is valid for proving that two circles are similar?

tatuchka [14]

'a', 'c', and 'd' are true for any two circles. That's because
ALL circles are similar. You don't need to prove it. The question
is weird.

4 0

3 years ago

A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find th

-Dominant- [34]

Answer:

The length and width of the parking lot is 78 meters and 114 meters respectively.

Step-by-step explanation:

Given;

Perimeter of the parking lot = $384\ m$

Solution,

Let the width of the parking lot be x.

Then, according to question length = (x-36).

The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

$perimeter=2\times(length+width)$

Now substituting the values, we get;

$384=2\times(x-36+x)\\\frac{384}{2}=(2x-36)\\192=2x-36\\192+36=2x\\2x=228\\x=\frac{228}{2}= 114$

Width = $114\ m$

Length = $x-36=114-36=78\ m$

Hence the length and width of the parking lot is 78 meters and 114 meters respectively.

6 0

3 years ago

80% din 2.3 km este egal cu...... m

ycow [4]

Can you ummm finish the question

3 0

3 years ago

Which statements can be represented by this equation? Select three options.<br> 4<br> 29.2 - 14

MariettaO [177]

The answer is 15.2 hope helps you

6 0

3 years ago

Read 2 more answers

Which of the following is NOT true? Question 19 options: (3x2y5)3=27x6y15 (1000x12y20z−3)0=1 52‾‾√3=523 42×43= 165

bixtya [17]

Answer:

Step-by-step explanation:

Lets try to simplify each to check which one is incorrect so it will be NOT true

first one is :

distribute the exponent so :

$(3x^2y^5)^3 =3^3x^{2*3}y^{5*3}$

$27x^6y^{15}$ CORRECT

Second one is :

$(1000x^{12}y^{20}z^{-30})^{0} =1$

CORRECT because anything raised to exponent 0 is 1 .

Last one is :

$4^2 *4^3 = 4^{2+3}\\=4^{6}\\=(4)^{2*3}\\=16^{3}$

so Last is<em> INCORRECT</em>

5 0

3 years ago