Certainly! Let's go through the steps to multiply the expression [tex]\( 8x(5x - 6) \)[/tex]. Here is the detailed, step-by-step solution:
1. Distribute [tex]\( 8x \)[/tex] to each term inside the parentheses [tex]\( (5x - 6) \)[/tex]:
[tex]\[
8x \cdot 5x + 8x \cdot (-6)
\][/tex]
2. Multiply [tex]\( 8x \)[/tex] by [tex]\( 5x \)[/tex]:
[tex]\[
8x \cdot 5x = 40x^2
\][/tex]
3. Multiply [tex]\( 8x \)[/tex] by [tex]\( -6 \)[/tex]:
[tex]\[
8x \cdot (-6) = -48x
\][/tex]
4. Combine the results:
[tex]\[
40x^2 - 48x
\][/tex]
Therefore, the expanded expression is:
[tex]\[
40x^2 - 48x
\][/tex]
This is the final result after multiplying [tex]\( 8x(5x - 6) \)[/tex].
