What is the result of multiplying ( − 5 𝑥 𝑦 𝑧 ) ( 10 𝑎 𝑏 𝑥 𝑦 )? - IQ786

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What is the result of multiplying ( − 5 𝑥 𝑦 𝑧 ) ( 10 𝑎 𝑏 𝑥 𝑦 )?

What is the result of multiplying ( − 5 𝑥 𝑦 𝑧 ) ( 10 𝑎 𝑏 𝑥 𝑦 )?

− 50 𝑎 𝑏 𝑥^ 2 𝑦 ^2 𝑧

50abxyz^2

−15abxyz

−50a^2b ^2 x ^2 y ^2 z

Explanation

Step 1: Multiply the coefficients

$- 5 \times 10 = - 50$

Step 2: Multiply the variables

$x cdot x = x^2$
$y cdot y = y^2$
$z cdot 1 = z$
$a$ appears once
$b$ appears once

Step 3: Combine all parts

$-50abx^2y^2z$