<prompt> Etsa tsebetso e latelang me u e nolofatse:fx 4x2 4x 1  <response>: Instruction in English: Take the following function and simplify it: . Response in English: The function fx 4x2 4x 1 can be simplified by factoring it. One way to do this is to use the perfect square trinomial formula, considering that the given expression has the form of a22abb2, which can be rewritten as a b2.Heres how to do it:1 Rewrite the coefficients 4 and 1 as 22 and 12, respectively, so that the polynomial can be expressed as 2x2 22x1 12.2 Substitute this expression into the form of a perfect square trinomial: a b2, where a 2x and b 1.So, we have: fx 2x2 22x1 12 2x 12.Thus, the simplified version of the function is:fx 2x 12. . Response in Sesotho: Mosebetsi fx 4x2 4x 1 o ka nolofalloa ka ho o fa factoring. Mokhoa o mong oa ho etsa sena ke ho sebelisa mokhoa o phethahetseng oa sekwere trinomial, ha ho nahanoa hore polelo e fanoeng e na le sebopeho sa22abb2, e ka ngoloang bocha joalo ka a b2. Tsela ea ho e etsa ke ena: 1 Ngola hape li-coefficients 4 le 1 joalo ka 22 le 12, ka ho latellana, e le hore polynomial e ka hlalosoa e le 2x2 22x1 12 . 2 Kenya polelo ena sebakeng sa sebopeho sa sekwere trinomial e phethahetseng: a b2, moo a 2x le b 1. Kahoo, re na le: fx 2x2 22x 1 12 2x 12. Kahoo, mofuta o nolofalitsoeng oa mosebetsi ke: fx 2x 12. 