Question

Q3. If? is an operation such that for integers a
and b we have a?b=aXb - 2XaXb + bXb(-a) Xb+
bXb then find (i) 4?(-3) & (-3)?4 (ii) (-7)?(-1) & (-1)?
(-7) are they equal “If needed then upload
picture"


Guys Pls ans this question step by step. Whoever will ans this question step by step I will mark him or her as a brainlist ans. Guys its urgent ​

Answer 1

$Given \\\red{ a?b = a\times b-2\times a \times b + b\times b (-a) \times b + b \times b }$

$i ) \green { Value \: of \: 4 ? (-3) }$

/* Here a = 4 , b = -3 */

$= 4\times (-3) - 2\times 4\times (-3) + (-3)\times (-3) (4) \times (-3) + (-3)(-3) \\= -12+ 24 - 108 + 9 \\= -120 + 33 \\= -87$

$iii) \green { Value \: of \: (-7) ? (-1) }$

/* Here a = -7 and b = -1 */

$= (-7)\times (-1) - 2\times (-7)\times (-1) + (-1)\times (-1) (-7) \times (-1) + (-1) \times (-1) \\= 7-14 +7+1 = 14-14+1 \\= 1$

$iv) \green { Value \: of \: (-1) ? (-7) }$

/* Here a = -1 and b = -7 */

$= (-1)\times (-7) - 2\times (-1)\times (-7) + (-7)\times (-7) (-1) \times (-7) + (-7) \times (-7) \\= 7-14 -343+49= -357+56 \\= -301$

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