Question 125 (ii)

If '' is an operation have, such that for integers a and b. We have
$a b = a \times b + (a \times a + b \times b),$ then find
$(- 6) * 2$

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Solution

Now, put a = -6 and b = 2
$(- 6) * 2 = (- 6 \times 2) + (- 6) \times (- 6) + 2 \times 2 = - 6 \times 2 + (36 + 4) = - 12 + 40 = 28$

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Question 126 (i)

If $Δ$ is an operation, such that for integers a and b. We have $a Δ b = a \times b - 2 \times a \times b + b \times b (- a) \times b + b \times b,$ then find
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Also, show that $4 Δ (- 3) \neq (- 3) Δ 4$

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Q. If

a

and

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Multiplication of Integers

Standard VII Mathematics

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Question 125 (ii) If '*' is an operation have, such that for integers a and b. We have a∗b=a×b+(a×a+b×b), then find (−6)∗2

Now, put a = -6 and b = 2 (−6)∗2=(−6×2)+(−6)×(−6)+2×2=−6×2+(36+4)=−12+40=28

Question 125 (ii)

If '' is an operation have, such that for integers a and b. We have
$a b = a \times b + (a \times a + b \times b),$ then find
$(- 6) * 2$

Now, put a = -6 and b = 2
$(- 6) * 2 = (- 6 \times 2) + (- 6) \times (- 6) + 2 \times 2 = - 6 \times 2 + (36 + 4) = - 12 + 40 = 28$