Question

a^2-b^2-a-b factorise

Answer 1

We have :-

$=a^2-b^2-a-b\\ \\ \\=(a+b)(a-b)-a-b\\ \\ \\=(a+b)(a-b)-(a+b)\\ \\ \\=(a+b)(a-b-1)$

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Factorisation means presenting any given Number or Variable in product form. The expression of Factorisation must include only the multiplication operator between the two major operants.

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Some identities used:-

$a^2-b^2=(a+b)(a-b)\\ \\ \\(a+b)^2=a^2+b^2+2ab\\ \\ \\(a-b)^2=a^2+b^2-2ab$

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Some types of Factorisation includes:-

• Greatest Common Factor.

• Grouping.

• Difference in Two Squares.

• Sum or Difference in Two Cubes.

• Trinomials.

• General Trinomials.

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