Algebra Factorisation

Factorise 4m² – 81

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what are methods for factorisation?

• common factor

• using identities

• regrouping

• all of these

Factorise 2x + xy - 6 - 3y

• x (2 + y) - 3(2 + y)

• (2 + y)(x - 3)

• x (2 + y) - 3(2 - y)

• (2 + y)(x + 3)

Factorise x² + 8x + 16

• (x + 4)(x - 4)

• x(x + 8) + 16

• (x + 4)²

• (x - 4)²

Factorise x² - 36

• (x - 6)²

• (x + 6)(x - 6)

• x² - 6²

• (x + 6)²

Expand and simplify (x + 3)(x - 3)

• x² + 6x - 9

• x² - 6x - 9

• x² - 9

• x² + 9

Factorise 11x + 121xy

• 11(x + 11xy)

• 7x(1 + 11y)

• x( 11 + 121y)

• 11x(1 + 11y)

Factor by removing the HCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Expand and simplify the following quadratic expression... (x + 3)(x + 2)

• x² + 5x + 6

• x² + 5x + 5

• x² + 6x + 6

• x² + 6x + 5

Expand and simplify the following quadratic expression... (x - 6)(x + 5)

• x² + x - 30

• x² - x - 30

• x² + x + 30

• x² - x + 30