Question

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

Polynomial factorization
ANSWERED
asked 2021-06-04
Factorise the following expressions:
\(6y^{2}-5y=\)?
\(9a^{3}-3a^{2}=\)?
\(x^{2}+xy+3xz=\)?

Answers (1)

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 \(x(x+y+3z).\)

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