Question

If *is an operation such that for integers a and b we have a*b=a×b+ (a×a+b×b) then find (a) (-3)* (-5) (b) (-6)* 2​

Answer 1

Answer:

a) (-3)*(-5)=(-3)(5)+(-3(-3)+5(5))

=-15+(9+25)

=-15+34

=19

b) (-6)*2=(-6)(2)+(-6(-6)+2(2))

=-12+(36+4)

=-12+40=28

Answer 2

Answer:

(a) 49

(b) 28

Step-by-step explanation:

(-3)*(-5)=

$( - 3 \times - 5) + (( - 3)^{2} + ( - 5)^{2}) \\ = 15 + 9 + 25 \\ = 49$

(-6)*2=

$( - 6 \times 2) + (( - 6)^{2} + (2)^{2}) \\ \ = - 12 + 36 + 4 \\ = 40 - 12 \\ = 28$