Question

factorize (x+2) (x+4) (x+6) (x+8)-9 ​

Answer 1

Answer:

$\huge \fcolorbox{black}{yellow}{♛answer♛}$

$(x + 2)(x + 8)(x + 4)(x + 6) - 9 \\ = ( {x}^{2} + 2x + 8x + 16)( {x}^{2} + 4x + 6x + 24) - 9 \\ = ( {x}^{2} + 10x + 16)( {x}^{2} + 10x + 24) - 9 \\ \small\bold\red{(let \: {x}^{2} + 10x = y )} \\ = (y + 16)(y + 24) - 9 \\ = {y}^{2} + 16y + 24y + 384 - 9 \\ = {y}^{2} + 40y + 375 \\ \small\bold\blue{(now \: split \: the \: middle \: terms)}\\ = {y}^{2} + 25y + 15y + 375 \\ = y(y + 25) + 15(y + 25) \\ = (y + 25)(y + 15) \\ = ( {x}^{2} + 10x + 25)( {x}^{2} + 10x + 15) \\ = ( {x}^{2} + 2 \times 5 \times x + {5}^{2} )( {x}^{2} + 10x + 15) \\ = {(x + 5)}^{2} ( {x}^{2} + 10x + 15) \\ = (x + 5)(x + 5)( {x}^{2} + 10x + 15)$

Answer 2

Answer:

hey this is correct .........