Question

9 1/4 × 15 3/4 using identities

Answer 1

Answer:

$145\frac{11}{16}$

Step-by-step explanation:

9 1/4 × 15 3/4 using identities

$9\frac{1}{4}*15\frac{3}{4}$

$=(12\frac{1}{2}-3\frac{1}{4})*(12\frac{1}{2}+3\frac{1}{4})$

$\text{using the identity:}\bf{(a-b)(a+b)=a^2-b^2\:}\text{we get}$

$=(12\frac{1}{2})^2-(3\frac{1}{4})^2$

$=(\frac{25}{2})^2-(\frac{13}{4})^2$

$=\frac{625}{4}-(\frac{169}{16}$

$=\frac{2500}{16}-(\frac{169}{16}$

$=\frac{2331}{16}$

$=145\frac{11}{16}$

Answer 2

Answer:

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