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Mathematics

Factorise :

3x2 + 15x - 72

Factorisation

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Answer

3x2 + 15x - 72

= 3(x2 + 5x - 24)

= 3(x2 + (8 - 3)x - 24)

= 3(x2 + 8x - 3x - 24)

= 3[(x2 + 8x) - (3x + 24)]

= 3[x(x + 8) - 3(x + 8)]

= 3(x + 8)(x - 3)

Hence,3x2 + 15x - 72 = 3(x + 8)(x - 3)

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