FACTOR OF POLYNOMIALS WITH GROUPING AND IDENTITIES WORKSHEET

(1)  Factorise the following expressions:

(i) 2a² + 4a² b + 8a² c

(ii)  ab - ac - mb + mc               Solution

(2)  Factorise the following:

(i) x² + 4x + 4

(ii)  3a² - 24ab + 48b²

(iii)  x⁵ - 16x

(iv)  m² + 1/m² - 23

(v)  6 - 216 x²

(vi)  a² + 1/a² - 18          Solution

(3)  Factorise the following:

(i)  4x² +  9y² + 25z² + 12xy + 30yz + 20xz

(ii)  25x² + 4y² + 9z² - 20xy + 12yz - 30zx          Solution

(4)  Factorise the following 

(i)  8x³ + 125y³

(ii)  27x³ - 8y³

(iii)  a⁶ - 64            Solution

(5)  Factorise the following:

(i) x³ + 8y³ + 6 xy - 1

(ii)  l³ - 8m³ - 27n³ - 18 lmn             Solution

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