C-03-Q105mediumsingle_mcqFactorize 4x2+12x+94x^2 + 12x + 94x2+12x+9:a(2x+3)2(2x+3)^2(2x+3)2b(2x−3)2(2x-3)^2(2x−3)2c(2x+3)(2x−3)(2x+3)(2x-3)(2x+3)(2x−3)d(4x+9)(x+1)(4x+9)(x+1)(4x+9)(x+1)ব্যাখ্যাThis is a perfect-square trinomial since 4x2=(2x)24x^2=(2x)^24x2=(2x)2, 9=329=3^29=32, and the middle term 12x=2⋅(2x)⋅312x=2\cdot(2x)\cdot 312x=2⋅(2x)⋅3. Hence it equals (2x+3)2(2x+3)^2(2x+3)2.