factorise the following using appropriate identities.
i) 18a²-50
ii) x²+5x+6
iii)3p²-24p+36
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(i) 18a² - 50
= 2 ( 9a² - 25 )
= 2 ( 3a + 25 ) ( 3a - 25 )
(ii) x² + 5x + 6
= x² + 3x + 2x + 6
= x ( x + 3 ) + 2 ( x + 3 )
= ( x + 2 ) ( x + 3 )
(iii) 3p² - 24p + 36
= 3p² - 18p - 6p + 36
= 3p ( p - 6 ) - 6 ( p - 6 )
= ( 3p - 6 ) ( p - 6 )
(i) 18a² - 50
= 2 ( 9a² - 25 )
= 2 ( 3a + 25 ) ( 3a - 25 )
(ii) x² + 5x + 6
= x² + 3x + 2x + 6
= x ( x + 3 ) + 2 ( x + 3 )
= ( x + 2 ) ( x + 3 )
(iii) 3p² - 24p + 36
= 3p² - 18p - 6p + 36
= 3p ( p - 6 ) - 6 ( p - 6 )
= ( 3p - 6 ) ( p - 6 )
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