Question

The volume of a cuboid is given by the polynomial p(x)=98a3+140a2b+50ab2 . Find the possible expressions for the sides of the cuboid.

Answer 1

here here there can be three pairs of possible explanations for the sides of cuboid

Answer 2

Answer:

${ \huge\fbox \pink {♥}\fbox \blue {A} \fbox\purple {N} \fbox \green{S} \fbox \red {W} \fbox \orange {E} \fbox{R} \fbox \gray{♥}}$

volume is the factorized as =>

= 8x³+12x?-2x-3 =

= 8x³-2x+12x²-3

= 2x(4x²-1)+3(4x?-1)

= (4x2-1)(2x+3)

= (2x+1)(2x-1)(2x+3)

Now

hence the possible dimension are =>

(2x+1), (2x-1), (2x+3)

hence the dimension are 11, 9, 13

11x9x13 = 1287 unit cube

=> 8(5)°+12(5)?-2(5)-3

=> (8×125)+(12×25)-10-3

=> 1000+300-13

=> 1287 unit cube _answer