Question

factorise the following expressions using suitable identities

$150 - 6x {}^{2}$
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Answer 1

Solution:

= GCF = 6

$= 6( \frac{150}{6} + \frac{ - 6 {x}^{2} }{6} ) \\ = 6(25 - {x}^{2} ) \\ = 6( {5}^{2} - {x}^{2} )$

Using identity:

= ${a}^{2} - {b}^{2} = (a + b)(a - b)$

Answer:

= $6(5 + x)(5 - x)$

Answer 2

(a+b)(a-b)

150²-6x²

(150+6x²)(150-6x²)