Factorise 2×2 – x – 6

(i) 2x2 – x – 6

(ii) 1 – 18y – 63y2

Answer :

(i) 2x2 – x – 6

2x2 – 4x + 3x – 6

Take out common in all terms we get,

2x(x – 2) + 3(x – 2)

(x – 2) (2x + 3)

(ii) 1 – 18y – 63y2

1 – 18y – 63y2

1 – 21y + 3y – 63y2

Take out common in all terms we get,

1(1 – 21y) + 3y(1 – 21y)

(1 – 21y) (1 + 3y)

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