Question

15a³,45a²,60a find the common factors of the given terms​ step by step​

Answer 1

Answer:

You can use various methods but PRIME FACTOSRISATION will be suitable... if you want detailed answer follow now!!

Answer 2

Given:

✰ 15a³ + 45a² + 60a

To find:

✠ The common factors of the given terms.

Solution:

Let's understand the basic concept!

When a polynomial ( an algebraic expression ) is expressed as the product of two or more expressions, each of these expressions is called a factor of the polynomial.

Taking out the common factors:

• When each term of the given expression contains a common factor, divide each term by this factor and enclose the quotient within brackets, keeping the common factor outside the bracket.

Let's find out...✧

Procedure:

• Find the H.C.F of all the terms of the given expression.

• For expression 15a³ + 45a² + 60a, its terms are 15a³, 45a² and 60a. And, the H.C.F. of these terms is 15a.

Therefore,

⟼ 15a³ + 45a² + 60a

⟼ 15a ( 15a³/15a + 45a²/15a + 60a/15a )

⟼ 15a ( a³/a + 3a²/a + 4a/a )

⟼ 15a ( a³⁻¹ + 3a²⁻¹ + 4 )

⟼ 15a ( a² + 3a + 4 )

_______________________________