Now, replace the term p with the (5x – 3y). (ii) The given expression is 3(x – y)^2 – (x – y) – 44. Now, replace the term x with the (a – 2b). Now, replace the term x with the (p + q). We can write it as (p + q)^2 – 8(p + q) + 7. Now, replace the term p with the (a^2 – 8a). Now, replace the term p with the (x^2 + 2x). Now, replace the term p with the (x^2 – 3y^2). Now, replace the term p with the (a – b). We can write it as 6(a – b)^2 – (a – b) – 15. (vi) The given expression is 6(a – b)^2 – a + b – 15. Now, replace the term p with the (a^2 – 3a).
Now, replace the term p with the (x + y). (iv) The given expression is (x + y)^2 – (x + y) – 6. Now, replace the term p with the (x + 2y). (iii) The given expression is 2(x + 2y)^2 + (x + 2y) – 1. Now, replace the term p with the (3a + 2). Now, replace the term p with the (x – y). Then, 4p^2 – 16 p + 2p – 8 = 4p(p – 4) + 2(p – 4).įactor out the common terms from the above expression. The above expression matches with the basic expression ax^2 + bx + c. Factor the following trinomials using the substitution method Solved Examples of Factoring Trinomials by Substitutionġ.
Check Factorization Worksheets to understand the complete factorization concept. So that, we will get the expression in the form of x^2 + ax + b or ax^2 + bx + c. But, for the trinomial expression, we need to substitute the terms in the place of common factors.
We know the factorization process for x^2 + ax + b or ax^2 + bx + c. Clear all your doubts on the factorization concept by following the below-solved examples of factoring trinomials by substitution. Follow the questions on Worksheet on Factoring Trinomials by Substitution for reference and grade up your skills level on the concept. For a clear understanding of the factorization trinomials by substitution, take the help of our worksheets.