Question

Factorise the following-

a. 20 - 9x - 20x²

b. 24 - 37x - 72x²


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Answer 1

Answer:

1. ( 5x + 4 ) ( 4x - 5 )

2. ( 8x - 3 ) ( 9x - 8 )

Step-by-step explanation:

1. 20 - 9x - 20x^2

= 20x^2 - 9x - 20

= 20x^2 - ( 25 - 16 ) x - 20.

= 20x^2 - 25x + 16x - 20

= 5x ( 4x - 5 ) + 4 ( 4x - 5 )

= ( 5x + 4 ) ( 4x - 5 )

2. 24 - 37x - 72x^2

= 72x^2 - 37x - 24

= 72x^2 - ( 64 - 27 ) x - 24

= 72x^2 - 64x - 27x - 24

= 8x ( 9x - 8 ) - 3 ( 9x - 8 )

= ( 8x - 3 ) ( 9x - 8 )

Answer 2

Answer:

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