2 years ago

Factorise using the difference of two squares: I)4x squared-(2x+3) squared

1 answer:

8 0

4x² - (2x + 3)²
4x² - (2x + 3)(2x + 3)
4x² - (2x(2x + 3) + 3(2x + 3))
4x² - (2x(2x) + 2x(3) + 3(2x) + 3(3))
4x² - (4x² + 6x + 6x + 9)
4x² - (4x² + 12x + 9)
4x² - 4x² - 12x - 9
-12x - 9
-3(4x) - 3(3)
-3(4x + 3)

You might be interested in

In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.

zvonat [6]

Part i

$\dfrac{2a-7}{6y} = \dfrac{3b-5}{2c}$

$y = \dfrac{ 2c(2a-7)}{6(3b-5)} = \dfrac{c(2a-7)}{9b-15}$

Substituting,

$y = \dfrac{4(2(2)-7)}{9(3)-15} = \dfrac{ -12}{12} = -1$

Answer: -1

Part ii

I'm not sure that one's typed in correctly but I'll solve it as written.

$3-34y + 2a = \dfrac{3b-5}{2c + 1}$

$34y = 3+2a-\dfrac{3b-5}{2c + 1}$

$y = \frac 1 {34}\left(3+2a-\dfrac{3b-5}{2c + 1} \right)$

We're not asked to simplify it so I wont. Substituting,

$y = \frac 1 {34}\left(3+2(2)-\dfrac{3(3)-5}{2(4) + 1} \right) = \frac 1 {34}(7-4/9) = \dfrac{59}{306}$

Answer: 59/306

3 0

3 years ago

What steps need to be taken so that quadrilateral ABCD can be transformed to overlap quadrilateral A’B’C’D’ so that their vertic

stiv31 [10]

Answer:

What’s the answer

Step-by-step explanation:

Pls

4 0

2 years ago

Read 2 more answers

Monica wrote a 5 digit number 12,335 then circled the digit 3 on the right. which other digit in the number has a value that is

Snowcat [4.5K]

Digit 3 on the 10 side has a value of 3 tens or 30. We want to find the digit that has exactly 10 times that value. well, 10 × 30 = 300. So which digit has the value of 300? The other 3 is in the 100's place and it's value is 3 one hundreds or 300. So that is your digit... the 3 in the hundreds place.

6 0

3 years ago

On a map the distance between two towns is 7 inches. What is the actual distance if the scale is 1 inch to 25 miles?

zimovet [89]

Multiply 7 times 25.
The answer is 175 miles.

6 0

2 years ago

Read 2 more answers

I’m so confused <br> I feel like I’ve tried everything <br> Please help

Cerrena [4.2K]

130 - 40 = 90 (because you need to have soil to have flowers to grow)

90/6 = 15

So 15 flowers she can buy

4 0

3 years ago

Read 2 more answers