Factoring by splitting the middle term Problems and solutions

There is a mathematical procedure for factorizing (or factorising) the mathematical expressions by splitting the middle term. The following is the list of the questions with understandable steps on factorisation (or factorization) of the polynomials to learn how to factorize (or factorise) the expressions, which are in the form of a quadratic expression for your practice.

Factorize $2x^2y^2-7xy-30$

Factorise $5(3x+y)^2+6(3x+y)-8$