Question

Using the identity (a²- b²) = (a + b) (a - b), evaluate each of the following:
(i)( 7 ¾)²_(2¼)²​

Answer 1

Answer:

55

Step-by-step explanation:

${(\frac7{3}{4})}^{2}-{(\frac2{1}{4})}^{2}$

$={(\frac{31}{4})}^{2}-{(\frac{9}{4})}^{2}$

${a}^{2}-{b}^{2}=(a+b)(a-b)$

$=(\frac{31}{4}+\frac{9}{4})(\frac{31}{4}-\frac{9}{4})$

$=\frac{40}{4}×\frac{22}{4}$

$=10×\frac{11}{2}$

$=55$

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