Sagot :
[tex] {4x}^{2} + 4x + 9[/tex]
Simplify the expression
Rewrite the expression
[tex]( {x}^{2} + 2x + 4) + {3x}^{2} + 2x + 5[/tex]
Remove unnecessary parentheses
[tex]x {}^{2} + 2x + 4 + {3x}^{2} + 2x + 5[/tex]
Collect like terms
[tex] {x}^{2} + 3x[/tex]
[tex]1 {x}^{2} + {3x}^{2} [/tex]
[tex](1 + 3) {x}^{2} [/tex]
[tex] {4x}^{2} [/tex]
[tex]2x + 2x[/tex]
[tex](2 + 2)x[/tex]
[tex]4x[/tex]
Calculate
[tex] {4x}^{2} + 4x + 9[/tex]
2.
[tex] {8x}^{2} + 6x + 2[/tex]
Simplify the expression
Rewrite the expressions
[tex] {3x}^{2} - 2x + 7( {5x}^{2} + 8x - 5)[/tex]
Remove the parentheses
[tex] {3x}^{2} - 2x + 7 + {5x}^{2} + 8x - 5[/tex]
Collect like terms
[tex] {3x}^{2} + {5x}^{2} [/tex]
[tex](3 + 5) {x}^{2} [/tex]
[tex] {8x}^{2} [/tex]
[tex] - 2x + 8x[/tex]
[tex]( - 2 + 8)x[/tex]
[tex]6x[/tex]
Subtract the numbers
[tex] {8x}^{2} + 6x + 2[/tex]
3.
[tex] {6x}^{2} + x - 1[/tex]
Simplify the expression
Rewrite the expression
[tex]( {x}^{2} - 7x + 4) + ( {5x}^{2} + 8x {}^{2} - 5)[/tex]
Remove unneccesary parentheses
[tex] {x}^{2} - 7x + 4 + {5x}^{2} + 8x - 5[/tex]
Collect like terms
[tex] {x}^{2} + {5 {x} }^{2} [/tex]
[tex]1 {x}^{2} + {5x}^{2} [/tex]
[tex](1 + 5) {x}^{2} [/tex]
[tex] {6x}^{2} [/tex]
[tex] - 7x + 8x[/tex]
[tex]( - 7 + 8)x[/tex]
[tex]1x[/tex]
[tex]x[/tex]
Calculate the difference
[tex]4 - 5[/tex]
[tex] - (5 - 4)[/tex]
[tex] - 1[/tex]
4.
[tex] - {5x}^{2} - 1[/tex]
Simplify the expression
[tex]( {2x}^{2} + 7) + ( - {7x}^{2} - 8)[/tex]
Rewrite the expression
[tex] {2x}^{2} + 7 - {7x}^{2} - 8[/tex]
Remove unnecessary parentheses
[tex] - {5x}^{2} + 7 - 8[/tex]
Collect like terms
[tex] - {5x}^{2} - 1[/tex]
Calculate the difference
5.
[tex] - {5x}^{2} + 3x - 2[/tex]
Simplify the expression
[tex]( - {6x}^{2} + 5x - 3) + ( {x}^{2} - 2x + 1)[/tex]
Rewrite
[tex] - {6x}^{2} + 5x - 3 + {x}^{2} - 2x + 1[/tex]
Remove unnecessary parentheses
[tex] - {6x}^{2} + {x}^{2} [/tex]
[tex] - {6x}^{2} + 1 {x}^{2} [/tex]
[tex]( - 6 + 1) {x}^{2} [/tex]
Calculate the sum
[tex] - {5x}^{2} [/tex]
[tex]5x - 2x[/tex]
Collect like terms
[tex](5 - 2)x[/tex]
Subtract the numbers
[tex]3x[/tex]
[tex] - {5x}^{2} + 3x - 2[/tex]
Calculate the sum