Explanation

(√x + √y) (√x - √y)

= (√x)² - (√y)²

= x - y

Explanation

x² - xy + y²

= (-2)² - (-2)(2) + (2)²

= 4 + 4 + 4

= 12

Explanation

(3a - 2b)² = (3a)² - 2(3a)(2b) + (2b)²

= 9a² - 12ab + 4b²

Explanation

a² - b² = (a - b)(a + b).

Explanation

a + b = 2 ... (1)

a - b = 2 ... (2)

Adding (1) and (2):

2a = 4

a = 2

Put a = 2 in (1):

2 + b = 2

b = 0

Now, a² + b² = (2)² + (0)² = 4 + 0 = 4.

Explanation

In the Cartesian coordinate system:

• 1st quadrant: (+, +)
• 2nd quadrant: (-, +)
• 3rd quadrant: (-, -)
• 4th quadrant: (+, -)

Given P(2, -3), the x-coordinate is positive (+) and the y-coordinate is negative (-), so it lies in the 4th quadrant.

Explanation

Explanation

$$abc=?\text{and }ac=2$$

You want to find the value of $b$ in terms of $a$, assuming:.

$$abc\text{ is implied to be known, or }abc=someexpression.$$

If we assume:

$$abc = a cdot b cdot c quad text{and} quad ac = 2,$$

Then:

$$abc=a\cdot b\cdot c=b(ac)=b\cdot 2=2b$$

So:

$$$$
abc = 2b Rightarrow b = frac{abc}{2}

Explanation

We are asked to find the value of $b$.

Step 1: Start with the given

$$abc = a^2 quad text{and} quad ac = 2$$

Step 2: Substitute
$ac=2$ into the first equation

abc=a^2 ⇒b(ac)=a^2⇒b(2)=a^2

Step 3: Solve for b

$$$$
2b=a^2⇒b=a^2/2​

Explanation