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step 2: multiply rows & columns $(2x + 1)(x^2 - 4x - 2)$ pro tip: type …

Question

step 2: multiply rows & columns
$(2x + 1)(x^2 - 4x - 2)$
pro tip: type \x2\ to get \$x^2$\

Explanation:

Step1: Multiply $2x$ by $x^2$

$2x \times x^2 = 2x^3$

Step2: Multiply $2x$ by $-4x$

$2x \times (-4x) = -8x^2$

Step3: Multiply $2x$ by $-2$

$2x \times (-2) = -4x$

Step4: Multiply $+1$ by $x^2$

$1 \times x^2 = x^2$

Step5: Multiply $+1$ by $-4x$

$1 \times (-4x) = -4x$

Step6: Multiply $+1$ by $-2$

$1 \times (-2) = -2$

Step7: Combine all terms

$2x^3 -8x^2 -4x +x^2 -4x -2$

Step8: Simplify like terms

$2x^3 + (-8x^2+x^2) + (-4x-4x) -2 = 2x^3 -7x^2 -8x -2$

Answer:

Grid Values (top row, left to right):

$2x^3$, $-8x^2$, $-4x$

Grid Values (bottom row, left to right):

$x^2$, $-4x$, $-2$

Final simplified product:

$2x^3 -7x^2 -8x -2$