Question

Please solve the following question

Answer 1

Given Equation is 8a^3 - 2a^2b - 15ab^2

= > a(8a^2 - 2ab - 15ab)

= > a(8a^2 + 10ab - 12ab - 15ab)

= > a(2a(4a + 5b) - 3b(4a + 5b))

= > a(2a - 3b)(4a + 5b)

= > (2a^2 - 3ab)(4a + 5b)

= > (4a + 5b)(2a^2 - 3ab).

The answer is option (A).

Hope it helps!

Answer 2

Hello Mate! Here is your answer.

8a³ - 2a²b - 15ab²

Sum = -2   Product = -15×8 = -120

For factorizing, the perfect pair we can find here is +10 × - 12 as the result by subtraction will give us -2 and the multiplication will give us -120

(If the product is negative, greater factor is in the same sign of sum and the other factor is in the opposite sign)

Now, we apply the Pair and split the middle term right ? Yeah we do.

So we get the equation,

8a³ - 2a²b - 15ab²

8a³ + 10a²b - 12a²b - 15ab²         (the terms have been applied in this step)

By finding the common factors, we now write

2a² (4a + 5b) - 3ab (4a + 5b)

Then we write the answer/factors as

(4a + 5b) (2a² - 3ab)

Yay! We have got the answer, so the correct option will be Option A

Hope it Helps!

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