Squaring numbers

Algebra Level 2

Numbers could be squared using the following algorithm:

41×41=40×42+12=168132×32=30×34+22=102457×57=54×60+32=324989×89=88×90+12=7921⋮\large {41 \times 41=\color{#3D99F6}40 \times \color{#D61F06}42 + \color{#69047E}1^2=\color{#20A900}1681 \\ 32 \times 32=\color{#3D99F6}30 \times \color{#D61F06}34 + \color{#69047E}2^2=\color{#20A900}1024 \\ 57 \times 57=\color{#3D99F6}54 \times \color{#D61F06}60 + \color{#69047E}3^2=\color{#20A900}3249 \\ 89 \times 89=\color{#3D99F6}88 \times \color{#D61F06}90 +\color{#69047E}1^2=\color{#20A900}7921 \\ \vdots }

Find 78×7878 \times 78

Mrigank Shekhar Pathak by Mrigank Shekhar Pathak
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