Question

Factorise. : m² - 9




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Answer 1

Answer:

m²-3². ( 3×3 =9)

(m-3) (m+3). a²-b² =( a-b) (a+b)

Step-by-step explanation:

so ,the factors of m²-9 are( m-3)( m+3)

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Answer 2

Step-by-step explanation:

♐Factoring: m2-9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : m2 is the square of m1

Factorization is : (m+3) • (m-3)

Step-1

Equation :

(m+3) • (m-3) = 0

Step = 2

Theory - roots as a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Step-3

Solving a single variable equation:

2.2 Solve : m+3 = 0

Subtract 3 from both sides of the equation :

m = -3

2.3 Solve : m-3 = 0

Add 3 to both sides of the equation :

m = 3