# Factorise the following expressions: 6y^{2}-5y=? 9a^{3}-3a^{2}=? x^{2}+xy+3xz=?

Polynomial factorization
Factorise the following expressions:
$$6y^{2}-5y=$$?
$$9a^{3}-3a^{2}=$$?
$$x^{2}+xy+3xz=$$?

2021-06-05

Step 1
We have to factorize the following expressions:
$$6y^{2}-5y=$$?
$$9a^{3}-3a^{2}=$$?
$$x^{2}+xy+3xz=$$?
Factorization is the process of taking common term from the terms of the expression.
Factorizing first part:
$$6y^{2}-5y=y(6y-5)$$
Hence, factorization of the expression is $$y(6y−5).$$
Step 2
Factorizing second part:
$$9a^{3}-3a^{2}=3a^{2}\times 3a-3a^{2}$$
$$=3a^{2}(3a-1)$$
Hence, factorization of the expression is $$3a^{2}(3a-1)$$.
Factorizing third part:
$$x^{2}+xy+3xz=x(x+y+3z)$$
Hence, factorization of the expression is $$x(x+y+3z).$$