Booking.com McAfee Security Snagajob - Talent M... Sneakers, Footwear,... Pink Moon Lounge... Snagajob - Talent M... OUTLET SELL spo Question 8 of 8, Step 1 of 1 6/8 Correct Completely factor the expression by grouping, if possible. \[ 9 b x-10-8 b^{2}-10 b \] oad new window) \( \square \) \( \sqrt[3]{\square} \) \( \square \) \( \square \) the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answ
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To factor the expression \( 9bx - 10 - 8b^2 - 10b \) by grouping, we first rearrange the terms: \( 9bx - 10b - 8b^2 - 10 \). Next, we can group them: \( (9bx - 10b) + (-8b^2 - 10) \). From the first group, we can factor out \( b \), giving us \( b(9x - 10) \), and from the second group, we factor out \(-2\), which gives us \(-2(4b + 5)\). So, the factored form is \( b(9x - 10) - 2(4b + 5) \). By further simplifying and examining coefficients, we can realize that there might be common factors, and hence, we can regroup. Always keep an eye out for common factors across the entire expression to avoid missing anything in the process! That’s how math can be both methodical and a bit like solving a puzzle—each step leading you closer to the solution! Keep practicing, and you'll become a pro at this!