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box method to distribute and simplify (4x + 3)(-3x - 4). drag and drop …

Question

box method to distribute and simplify (4x + 3)(-3x - 4). drag and drop the terms to the cor ns of the table. (4x + 3)(-3x - 4)

Explanation:

Step1: Multiply 4x and -3x

$4x \times (-3x) = -12x^2$

Step2: Multiply 4x and -4

$4x \times (-4) = -16x$

Step3: Multiply 3 and -3x

$3 \times (-3x) = -9x$

Step4: Multiply 3 and -4

$3 \times (-4) = -12$

Step5: Combine like terms

$-12x^2 + (-16x) + (-9x) + (-12) = -12x^2 -25x -12$

Answer:

Filled table terms (top-left to bottom-right):
$-12x^2$, $-16x$, $-9x$, $-12$
Simplified expression: $-12x^2 -25x -12$