SOLUTION: Factorise: #1 a2 + 6ab + 9b2 - 1 PLEASE NOTE THAT IN THE QUESTION a AND b ARE NOT MULTIPLYING BY 2, BUT BOTH HAVE SQUARES i.e. (a)square + 6ab + 9(b)square - 1

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Question 91731: Factorise:
#1 a2 + 6ab + 9b2 - 1
PLEASE NOTE THAT IN THE QUESTION a AND b ARE NOT MULTIPLYING BY 2, BUT BOTH HAVE SQUARES i.e. (a)square + 6ab + 9(b)square - 1

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Factorise:
Rewrite this as:
Factorise the parentheses.
which can be written as:
Now you have a difference of two squares which can be factored...oops - factorised thus:
Applying this to your problem,we get:

Check the answer by multiplying the two factors.
Simplify this.
Combine like-terms.
...your original expression.

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