Question

1. which show a way to factor the expression 32t − 48? select all that apply. 2(16t − 24) 4(12t − 48) 6(26t − 42) 8(4t − 6) 16(2t − 3)

Explanation:

Step1: Check 2(16t - 24)

Factor out 2 from \(32t - 48\): \(32t\div2 = 16t\), \(48\div2 = 24\), so \(2(16t - 24)=32t - 48\). Valid.

Step2: Check 4(12t - 48)

Factor out 4: \(32t\div4 = 8t
eq12t\), so \(4(12t - 48)
eq32t - 48\). Invalid.

Step3: Check 6(26t - 42)

Factor out 6: \(32t\div6\) is not 26t, \(48\div6 = 8
eq42\). Invalid.

Step4: Check 8(4t - 6)

Factor out 8: \(32t\div8 = 4t\), \(48\div8 = 6\), so \(8(4t - 6)=32t - 48\). Valid.

Step5: Check 16(2t - 3)

Factor out 16: \(32t\div16 = 2t\), \(48\div16 = 3\), so \(16(2t - 3)=32t - 48\). Valid.

Answer:

A. \(2(16t - 24)\), D. \(8(4t - 6)\), E. \(16(2t - 3)\)