Question

the product of (4√5 - 3√2) ( 4√5 + 3√2)​

Answer 1

Answer:

(4√5 - 3√2)(4√5 + 3√2) = 62

Step-by-step explanation:

We have,

(4√5 - 3√2)(4√5 + 3√2)

Now,

Let A = 4√5

B = 3√2

Then,

(A - B)(A + B)

Using identity,

A² - B² = (A - B)(A + B)

Hence,

(4√5 - 3√2)(4√5 + 3√2)

= (4√5)² - (3√2)²

= (4²(√5)²) - (3²(√2)²)

= (16 × 5) - (9 × 2)

= (80 - 18)

= 62

Hence,

(4√5 - 3√2)(4√5 + 3√2) = 62

Hope it helped you and believing you understood it...All the best

Answer 2

$(1).(4 \sqrt{5} - 3 \sqrt{2} )(4 \ \sqrt{5} - 3 \sqrt{2} ) \\ = > 4 \sqrt{5} (4 \sqrt{5} + 3 \sqrt{2}) \\ - 3 \sqrt{2} (4 \sqrt{5} + 3 \sqrt{2} \\ = > 4 \sqrt{5} \times 4 \sqrt{5} + 4 \sqrt{5} \times 3 \sqrt{2} \\ - 3 \sqrt{2} \times 4 \sqrt{5} - 3 \sqrt{2} \times 3 \sqrt{2} \\ = > 4 \sqrt{5} \times 4 \sqrt{5} - 3 \sqrt{2} \times 3 \sqrt{2}$

So your final answer is 4√5×4√5-3√2×3√2.

Thank u

Hope this will help u