Tentukan jawaban dan penjelasan dari X³+2XY

<p>Diketahui:&nbsp;</p><p>X = [(5 &nbsp;-2) (1 0)]</p><p>Y = [(-1 &nbsp;2) (2 &nbsp;1)]</p><p>&nbsp;</p><p>X³+2XY = ... ?</p><p>&nbsp;</p><p>X² = [(5 &nbsp;-2) (1 0)] [(5 &nbsp;-2) (1 0)]</p><p>= [(5·5+(-2)·1 &nbsp; 5·(-2)+(-2)·0) &nbsp; &nbsp;(1·5+ 0·1 &nbsp; 1·(-2)+0·0)]</p><p>= [(25+(-2) &nbsp;(-10)+0) &nbsp; &nbsp;(5+0 &nbsp; (-2)+0)]</p><p>= [(23 &nbsp;-10) (5 &nbsp;-2)]</p><p>&nbsp;</p><p>X³ = X² X</p><p>= [(23 &nbsp;-10) (5 &nbsp;-2)] &nbsp;[(5 &nbsp;-2) (1 0)]</p><p>= [(23·5+(-10)·1 &nbsp; 23·(-2)+(-10)·0) &nbsp; &nbsp;(5·5+(-2)·1 &nbsp; 5·(-2)+(-2)·0)]</p><p>= [(115+(-10) &nbsp; (-46)+(-10)) &nbsp; &nbsp;(25+(-2) &nbsp; (-10)+0)]</p><p>= [(105 &nbsp; -56) (23 &nbsp; -10)]</p><p>&nbsp;</p><p>2XY = 2 [(5 &nbsp;-2) (1 0)] [(-1 &nbsp;2) (2 &nbsp;1)]</p><p>= 2 [(5·(-1)+(-2)·2 &nbsp; 5·2+(-2)·1) &nbsp; (1·(-1)+0·2 &nbsp; 1·2+0·1)]</p><p>= 2 [((-5)+(-4) &nbsp; 10+(-2)) &nbsp; ((-1)+0 &nbsp; 2+0)]</p><p>= 2 [(-9 &nbsp;8) (-1 &nbsp;2)]</p><p>= [(-18 &nbsp;16) (-2 &nbsp;4)]</p><p>&nbsp;</p><p>X³+2XY = [(105 &nbsp; -56) (23 &nbsp; -10)] + [(-18 &nbsp;16) (-2 &nbsp;4)]</p><p>= [(105-18 &nbsp; -56+16) (23-2 &nbsp; -10+4)]</p><p>= [(87 &nbsp;-40) &nbsp;(21 &nbsp;-6)]</p><p>&nbsp;</p><p>Jadi, X³+2XY = [(87 &nbsp;-40) &nbsp;(21 &nbsp;-6)]</p>