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rarrininger

(x – 4)(x² – 3x + 5)

x³ -3x² +5x -4x² +12x -20
x³-7x² +17x -20

Answer:

d)  \(x^3 -7x^2+17x-20\)

Step-by-step explanation:

We have to find the product of two expressions \((x-4)\times (x^2-3x+5)\)

The step-wise multiplication is shown below:

\((x-4)\times (x^2-3x+5)\\=((x\times x^2) - (x\times 3x) + (x\times 5)) - ((4\times x^2) - (4\times 3x) + (4\times 5))\\=x^3 - 3x^2 + 5x - 4x^2 + 12x - 20\\=x^3 -7x^2+17x-20\)

Thus, the product of two expression is \(x^3 -7x^2+17x-20\).

The correct option is option d)

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