Assignment:
Q1. Completely factor the following expression:
25a2-60ab + 36b2
Q2. Factor the following expression into a product of two binomials:
36x2-84x+49
Q3. Use the "difference of squares" rule to factor the following expression:
16x4-121y4
Q4. Megan factored the expression12x2+13x-14 as (3x+2)(4x-7). But when Jacob applied the FOIL principle and multiplied Out (3x+2)(4x-7), he got 12x2-13x-14 ; thus Megan's solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, please state so.
Provide complete and step by step solution for the question and show calculations and use formulas.