Factorization of Polynomials by Taking out the Greatest Common factors Problems with solutions

Polynomials can be factored as a product of two or more expressions by taking out the Greatest Common factors (GCF) from the terms and the problems on factoring polynomials by taking out the Greatest Common Divisor (GCD) for your practice with examples, worksheets and solutions to learn how to factorise the algebraic expressions by taking out the highest common factors (HCF).

1. Factorize $4x^2y^3$ $-$ $6x^3y^2$ $-$ $12xy^2$
2. Factorise $5a(x^2-y^2)$ $+$ $35b(x^2-y^2)$
3. Factorize $2x^5y$ $+$ $8x^3y^2$ $-$ $12x^2y^3$
4. Factorise $3a^3$ $-$ $6a^2b$ $-$ $12ab^2$
5. Factorize $(a-b)^2$ $-$ $2(a-b)$
6. Factorise $12a^3$ $+$ $15a^2b$ $-$ $21ab^2$
7. Factorize $36(x+y)^3$ $-$ $54(x+y)^2$
8. Factorise $24m^4n^6$ $+$ $56m^6n^4$ $-$ $72m^2n^2$
9. Factorize $81(p+q)^2$ $-$ $9p$ $-$ $9q$
10. Factorise $\dfrac{mn^2}{15}$ $+$ $\dfrac{m^2n}{12}$

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