[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:1.) \:\:3x-y+ 2z [/tex]
[tex]\qquad \tt \rightarrow \:2.) \:\:21x³+ 9x -88 [/tex]
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[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{1.) What would be the difference if " 5x - 3y "} [/tex] [tex] \textsf{is taken from " 8x - 4y + 2z "} [/tex]
[ subtract (5x - 3y) from (8x - 4y + 2x) ]
[tex]\qquad \sf \dashrightarrow \: 8x - 4y + 2z - (5x - 3y)[/tex]
[tex]\qquad \sf \dashrightarrow \: 8x - 4y + 2z - 5x + 3y[/tex]
[tex]\qquad \sf \dashrightarrow \: (8x - 5x) + ( - 4y + 3y) + 2z[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x - y + 2z[/tex]
[tex] \textsf{2.) What is the sum of 3x³ - 11x + 12 and} [/tex][tex] \textsf{18x³ + 20x - 100} [/tex]
[ Add them up ]
[tex]\qquad \sf \dashrightarrow \: 3 {x}^{3} - 11x + 12 + 18x {}^{3} + 20x - 100[/tex]
[tex]\qquad \sf \dashrightarrow \:( 3 {x}^{3} + 18 {x}^{3}) + ( - 11x + 20x) + (12 - 100)[/tex]
[tex]\qquad \sf \dashrightarrow \: 21 {x}^{3} + 9x - 88[/tex]
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Verified answer
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:1.) \:\:3x-y+ 2z [/tex]
[tex]\qquad \tt \rightarrow \:2.) \:\:21x³+ 9x -88 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{1.) What would be the difference if " 5x - 3y "} [/tex] [tex] \textsf{is taken from " 8x - 4y + 2z "} [/tex]
[ subtract (5x - 3y) from (8x - 4y + 2x) ]
[tex]\qquad \sf \dashrightarrow \: 8x - 4y + 2z - (5x - 3y)[/tex]
[tex]\qquad \sf \dashrightarrow \: 8x - 4y + 2z - 5x + 3y[/tex]
[tex]\qquad \sf \dashrightarrow \: (8x - 5x) + ( - 4y + 3y) + 2z[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x - y + 2z[/tex]
[tex] \textsf{2.) What is the sum of 3x³ - 11x + 12 and} [/tex][tex] \textsf{18x³ + 20x - 100} [/tex]
[ Add them up ]
[tex]\qquad \sf \dashrightarrow \: 3 {x}^{3} - 11x + 12 + 18x {}^{3} + 20x - 100[/tex]
[tex]\qquad \sf \dashrightarrow \:( 3 {x}^{3} + 18 {x}^{3}) + ( - 11x + 20x) + (12 - 100)[/tex]
[tex]\qquad \sf \dashrightarrow \: 21 {x}^{3} + 9x - 88[/tex]