Question

Find the product of the following using identity :—
(x+3)(x+3)(x-6)(x+2)​

Answer 1

Answer:

$(x + 3)(x + 3) = {x}^{2} + 3x + 3x + 9 = {x}^{2} + 6x + 9$

$(x - 6)(x + 2) = {x}^{2} + 2x - 6x - 12 = {x}^{2} - 4x - 12$

$( {x}^{2} + 6x + 9)( {x }^{2} - 4x - 12) = {x}^{4} - 4 {x}^{3} - 12 {x}^{2} + 6 {x}^{3} - 24 {x}^{2} - 72x + 9 {x}^{2} - 36x - 108$

${x}^{4} + 2 {x}^{3} - 27 {x}^{2} + 36x - 108$