Math, asked by sanjana141421, 5 months ago

What are the possible expression for the dimensions of a cuboid whose volume is 5kx^2+10kx - 15k​

Answers

Answered by suhail2070
2

Answer:

5k \:  \:  \:  \:  \:  \:  \: (x - 1) \:  \:  \:  \:  \:  \:  \: (x + 3)

Step-by-step explanation:

V =

5k {x}^{2}  + 10kx - 15k \\  = 5k( {x}^{2}  + 2x - 3) \\  = 5k( {x}^{2}  + 3x - x - 3) \\  = 5k(x(x + 3) - 1(x + 3)) \\  = 5k(x - 1)(x + 3) \\  \\  \\ dimensions \: are \:  \:  \:  \: 5k \:  \:  \:  \:  \:  \:  \: (x - 1) \:  \:  \:  \:  \:  \:  \: (x + 3)

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