Question

Match each binomial with its factors.

Answer 1

The binomials needed to be factored are examples of perfect square binomials, so the factors should contain the square root of the expressions inside the binomial. The pairs are,
`16 x^(2) -1 and (4x-1)(4x+1)`,
`4 x^(2) -9 and (2x+3)(2x-3)`,
`4 x^(2) -1 and (2x-1)(2x+1)`, the last one is a bit tricky because its factors still has a common factor that can be taken out and it is,
`16 x^(2) -4 and 4(2x+1)(2x-1)`