which expressions are equivalent to (5g + 3h + 4)·2? choose all answers that apply: a (5g + 3h)·8 b (5g +…
which expressions are equivalent to (5g + 3h + 4)·2? choose all answers that apply: a (5g + 3h)·8 b (5g + 3h)·6 c none of the above
Answer
Explanation:
Step1: Apply distributive property
$(5g + 3h+4)\cdot2=5g\cdot2 + 3h\cdot2+4\cdot2=10g + 6h + 8$
Step2: Analyze option A
$(5g + 3h)\cdot8=5g\cdot8+3h\cdot8 = 40g+24h$, not equivalent.
Step3: Analyze option B
$(5g + 3h)\cdot6=5g\cdot6+3h\cdot6=30g + 18h$, not equivalent.
Answer:
C. None of the above