Question

(9x – 5t) (9x + 3t)​

Answer 1

Answer: 81x^2 - 18xt - 15t^2

Step-by-step explanation:

Equation:- (9x – 5t) (9x + 3t)​

9x (9x + 3t) - 5t (9x + 3t)

(81x^2 + 27xt) + ( - 45xt - 15t^2)

81x^2 + 27xt - 45xt - 15t^2

81x^2 - 18xt - 15t^2

Hence, (9x – 5t) (9x + 3t)​ = 81x^2 - 18xt - 15t^2

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Answer 2

Answer:

Let us simplify the expression, we get

(9x – 5t) (9x + 3t) = (9x)2 + [(- 5t) + (3t)] 9x + [(- 5t) × (3t)]

By using the logic,

(x + a) (x + b) = x2 + (a + b)x + (a × b)

Here, x = 9x, a = -5t, b = 3t

Now, substitute the value we get

= 81x2 + [(- 2t) × (9x)] + (- 15t2)

= 81x2 – 18xt – 15t2

∴ (9x – 5t) (9x + 3t) = 81x2 – 18xt – 15t2