Question

factorise the following expressions by regrouping of terms 36x³y²-54x²z+60x⁴yz²-18xy²+27z-30x²yz²​

Answer 1

Answer:

3 (6xy² + 10x²yz² - 9z) ( 2x² - 1​)

Step-by-step explanation:

Factoring terms by regrouping (two or more) - Rearrange the terms with common factors before factoring.

36x³y² - 54x²z + 60x⁴yz² - 18xy² + 27z - 30x²yz²​

3 {(12x³y² - 18x²z) + (20x⁴yz² - 6xy²) + (9z - 10x²yz²​) }

3 {6xy² (2x² - 1) + 10x²yz² (2x² - 1) - 9z ( 2x² - 1​)}

3 (6xy² + 10x²yz² - 9z) ( 2x² - 1​)