Question

please factorise it by middle splitting term
1 14m square -11mn-15n square
2 60a square+20abc-25b square c square
3 3x square +22x +35
4 36a cube b +69 a square b square - 72 ab cube

Answer 1

Answer:

Step-by-step explanation:

1) 14m² - 11mn - 15n²

= 14m² - 21mn + 10mn - 15n²

= 7m ( 2m - 3n ) + 5n ( 2m - 3n )

= ( 2m - 3n ) ( 7m + 5n ) is the answer.

2) 60a² + 20abc - 25b²c²

= 60a² + 50abc - 30abc - 25b²c²

= 10a ( 6a + 5bc ) - 5bc ( 6a + 5bc )

= ( 6a + 5bc ) ( 10a - 5bc ) is the answer.

3) 3x² + 22x + 35

= 3x² + 15x + 7x + 35

= 3x ( x + 5 ) + 7 ( x + 5 )

= ( x + 5 ) ( 3x + 7 ) is the answer.

4) 36a³b + 69a²b² - 72ab³

= 36a³b + 96a²b² - 27a²b² - 72ab³

= 12a²b ( 3a + 8b ) - 9ab² ( 3a + 8b )

= ( 3a + 8b ) ( 12a²b - 9ab² ) is the answer.