Question

Factorise the following
3-12b2
​

Answer 1

Answer:

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Step-by-step explanation:

1 solution(s) found

See steps

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2" was replaced by "b^2".

STEP

1

:

Equation at the end of step 1

3 - (22•3b2)

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

3 - 12b2 = -3 • (4b2 - 1)

Trying to factor as a Difference of Squares:

3.2 Factoring: 4b2 - 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 : b2 is the square of b1

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

Final result :

-3 • (2b + 1) • (2b - 1)