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  • 25-06-2020
  • Mathematics
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The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k

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09pqr4sT
09pqr4sT 09pqr4sT
  • 25-06-2020

Answer:

[tex]j=4\\k=10[/tex]

Step-by-step explanation:

[tex]8x^3 - 125[/tex]

[tex]\left(2x\right)^3-5^3[/tex]

Use this formula:

[tex]x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)[/tex]

Where,

[tex]x=2x\\y=5[/tex]

Substitute in the values.

[tex]\left(2x\right)^3-5^3=\left(2x-5\right)\left(2^2x^2+5\cdot \:2x+5^2\right)[/tex]

[tex]\left(2x-5\right)\left(4x^2+10x+25\right)[/tex]

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