Question

factorize (a-1)^3+2(a-1)^2.solve with explanation.​

Answer 1

Answer:

(a - 1) (a + 1) (a - 1)

Step-by-step explanation:

>> Distribute it!

$\implies \sf a^3 - 3a^2+3a - 1+2a^2- 4a+2$

>> Combine Like Terms:-

$\sf \implies (a^3)+(-3a^2+2a^2)+(3a-4a)+(-1+2)$

$\implies \sf a^3-a^2-a+1$

>> Final Answer:-

$\implies \sf (a-1)(a+1)(a-1)$

What is factorisation?

• Factorisation is a method to find factors of the given polynomial.

• They are generally written as product of other factors.

• To factories a quadratic polynomial splitting the middle term is widely used.

• While identities, and simplification can also be used to factories.