Question

Find the product using SUITABLE IDENTITY.... show working

Answer 1

Answer:

use identity

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

Answer is

$25 {p}^{2} - 36 {q}^{2}$

Step-by-step explanation:

Choose answer as Brainliest if it is correct.

Answer 2

To find:

The product using suitable identify:

• (5p - 6q) (5p - 6q)

Step-by-step explanation:

This question is from the topic "Expansions".

Here, we will use suitable identity and then we will evaluate it.

(5p - 6q) (5p - 6q) is nothing but (5p - 6q)².

For example:

• 5 × 5 = 5²
• (3 - 6) (3 - 6) = (3 - 6)²
• 25 × 25 = 25² and so on...

Using identity,

♦ (a - b)² = a² + b² - 2ab

Putting the values in the above Identity, we have:

• (5p - 6q)² = (5p)² + (6q)² - 2 × 5p × 6q
• (5p - 6q)² = 25p² + 36q² - 10p × 6q
• (5p - 6q)² = 25p² + 36q² - 60pq

Final answer,

✰ 25p² + 36q² - 60pq

Some more identities:

• (a + b)² = a² + b² + 2ab
• (a + b)² + (a - b)² = 2(a² + b²)
• (a + b)² - (a - b)² = 4ab
• (a + b)³ = a³ + b³ + 3ab(a + b)
• (a - b)³ = a³ - b³ - 3ab(a - b)

━━━━━━━━━━━━━━━━━━━━━