Question

factorise 80a^2-45b^2​

Answer 1

Answer:

Pls I need point to ask the question

Answer 2

Answer :

›»› 80a² - 45b² = 5(4a - 3b) (4a + 3b)

Given :

• 80a² - 45b²

To Find :

• Factorize the expression.

Required Solution :

Let's start solving the problem and understand the steps to get our final result$.$

⇛ 80a² - 45b²

Bind the expression with the common factor 5,

⇛ 5(16a² - 9b²)

Present as the shape of the power,

⇛ 5(4²a² - 9b²)

Binding the power,

⇛ 5(4a²) - 9b²

Present as the shape of the power,

⇛ 5(4a²) - 3²b²

Binding the power,

⇛ 5(4a²) - 3b²

Organize by using A² - B² = (A - B) (A - B),

⇛ 5(4a + 3b) (4a - 3b))

Release the parentheses,

⇛ 5(4a + 3b) (4a - 3b)

Sort the factors,

⇛ 5(4a - 3b) (4a + 3b)

║Hence, the factorization of 80a² - 45b² is 5(4a - 3b) (4a + 3b).║