Question

(5-0.2a)(5-0.3a) find the product

Answer 1

(5-0.2a)(5-0.3a)

= 5(5-0.3a ) - 0.2a(5-0.3a)

= 25 - 1.5a - a + 0.6a²

= 0.6a² - 2.5a +25

Answer 2

Given Equation is (5 - 0.2a)(5 - 0.3a)

We know that (x - a)(x - b) = x^2 - (a + b)x + ab.

⇒ (5)^2 - (0.2 + 0.3)5a + (0.2a)(0.3a)

⇒ 25 - (0.5)5a + (0.06a^2)

⇒ 25 - 2.5a + 0.06a^2.

Therefore, the product is 0.06a^2 - 2.5a + 25.

Hope it helps!