Discussion
The valu of (3.75 * 3.75 - 2*3.75*2.75 + 2.75*2.75 ) is
Answer: D
The three terms are the expansion of a squared difference, so no long multiplication is needed:
\[ a^{2} - 2ab + b^{2} = (a - b)^{2} \]
With \( a = 3.75 \) and \( b = 2.75 \),
\[ (3.75 - 2.75)^{2} = 1^{2} = 1 \]
Multiplying the three products out gives 14.0625, 20.625 and 7.5625, and \( 14.0625 - 20.625 + 7.5625 = 1 \) - the same answer for considerably more work.
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