Question

if p=(r+5) and q=(r-5) show that r^2=pq=25

Answer 1

Answer:

Here, p = (r+5) and q = (r-5)

Now, p×q = (r+5)(r-5)

or, pq = r^2-25

or, r^2 = pq+25 proved.

Step-by-step explanation:

Answer 2

Answer:

Proved

Step-by-step explanation:

Given:

• p = r+5
• q = r-5

To show:

• r² = pq = 25

Proof:

⠀⠀Solving for RHS:

⠀⠀⠀⠀⠀➣pq = (r+5)(r-5)

⠀⠀⠀⠀⠀➣pq = r² - 25 [using (a+b)(a-b) = ⠀⠀⠀⠀⠀a² - b²]

⠀⠀⠀⠀⠀➣r² = pq + 25

⠀⠀Hence proved