l²+4l+4, express perfect square trinomial as a square of binomial
Answer (1)
Let’s express the trinomial l²+4l+4 as a perfect square trinomial in the form of a square of a binomial. Given:[tex]l^2 + 4l + 4[/tex] Step 1: Identify the first and last terms.The first term is l², which is (l)².The last term is 4, which is (2)². Step 2: Check the middle term.The middle term is 4l. For the trinomial to be a perfect square, the middle term should be.2 × (first term root) × (second term root). Calculate:[tex]2 \times l \times 2 = 4l[/tex] Step 3: Write the trinomial as a square of a binomial.Since all conditions are met, the trinomial can be written as:[tex](l + 2)^2[/tex] Final answer:[tex]l^2 + 4l + 4 = (l + 2)^2[/tex]
