Question

Factorise: p^{​​​​​​2}​​​-6xp^{​​​​​2} + 9 x^​​​^{​​​​​​2} p^{​​​​​​2}

Answer 1

Step by step solution : Step 1 : Equation at the end of step 1 : ((p²)-(6x•(p²)))+(3²x²•p²) Step 2 : Equation at the end of step 2 : ((p²) - (2•3p²x)) + 3²p²x² Step 3 : Pulling out like terms :

Pull out like factors :

9p²x² - 6p²x + p² = p² • (9x² - 6x + 1)

Final result : p² • (3x - 1)²