Question

(a-3b)^2 -36 b^2 factorise​

Answer 1

Answer:

b2-(a-3b2)

Final result :

4b2 - a

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(b2) - (a - 3b2)

Step 2 :

Trying to factor as a Difference of Squares :

2.1 Factoring: 4b2-a

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 : b2 is the square of b1

Check : a1 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

4b2 - a

Answer 2

Answer:

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