Question

factorise 4x^2 - 1....​

Answer 1

Answer:

Step-by-step explanation:

4x2-1

Final result :

(2x + 1) • (2x - 1)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

22x2 - 1

Step 2 :

Trying to factor as a Difference of Squares :

2.1 Factoring: 4x2-1

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 : 4 is the square of 2

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (2x + 1) • (2x - 1)

Final result :

(2x + 1) • (2x - 1)

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Answer 2

Answer:

Step-by-step explanation:

4x^2-1

(2x)^2-1

=(2x+1)(2x-1)