Question

Find the common factors in the terms: -4x² (x - 2) , 6xy (x²- 4)​

Answer 1

Answer:

2x( x - 2 )

Solution:

Convert both terms into irreducible form:

-4x² (x - 2)

⟹ - 4x² × ( x - 2 )

⟹ -1 × 2 × 2 × x × x × ( x - 2 )

6xy (x²- 4)

[ by identity: ( a² - b² ) = ( a + b )( a - b )

⟹ 6xy { (x)² - (2)² }

⟹ 6xy ( x - 2 ) ( x + 2 )

⟹ 2 × 3 × x × y × ( x - 2 ) × ( x + 2 )

Common multiples :

⟹ 2 × x × ( x - 2 )

⟹ 2x( x - 2 )