Which expression is equivalent to 64 − 9x2?(32)2 − (3x)2(32)2 + (−3x)2(8)2 − (3x)2(8)2 + (−3x)2
Accepted Solution
A:
Answer: Third option.Step-by-step explanation: By definition, the number 64 and the number 9 are perfect squares. A perfect square it that number obtained by squaring a whole number. In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then: [tex]8^2=64\\3^2=9[/tex] Therefore, you can rewrite the expression [tex]64-9x^2[/tex] as following: [tex](8)^2-(3x)^2[/tex] This matches with the third option.