Question

Factorise using suitable identities
1) 16p²-2p+1
2) 49x²-112x+64
3) 16p²-2p+1
4) 25x²-49
5) x²-9x+8

Answer 1

5 ) x² - 9x + 8

solution

a + b = - 9

ab = 1 × 8 = 8

- 1 , - 8

- 2 , - 4

- 1 - 8 = - 9

- 2 - 4 = - 6

a = - 8

b = - 1

( x² - 8x ) + ( - x + 8 )

x ( x - 8 ) - ( x - 8 )

( x - 8 ) ( x - 1 )