Question

(4m+5n)*2 + (5m+4n)*2​

Answer 1

Answer:

$41m^2$+$41n^{2}$+80mn

Step-by-step explanation:

+ (5m+4n)*  

= [(4m)*2+(5n)*2+2(4m)(5n)] + [(5m)*2+(4n)*2+2(5m)(4n)}

                                                                    Using (A+B)*2 = (A*2 + B*2 + 2AB)

= [16m^2+25n^2+40mn] + [25m^2+16n^2+40mn]

=$16m^2$+$25n^2$+40mn + $25m^2$+$16n^2$+40mn

=$41m^2$+$41n^{2}$+80mn