Learning Task 2 B. Perform The Indicated Operations​

Learning task 2 B. perform the indicated operations​

[tex] \Large \mathcal{ANSWER:} [/tex] 

[tex] \boxed{\boxed{\begin{aligned} 1.)\: & 5x^4 + 6x^3 – 7x^2 – 3\\ 2.)\: & -3x^3y- 4x^2y^2 – 1 \\ 3.)\: & 18y^3 + 10 \\ 4.)\: & -9x^5 – 6x^3 – 10x^2 + 8x + 2 \\ 5.)\: & 5y^5 + y^4 + 5y^3 – 2y + 14 \\ 6.)\: & -3x^3 – 9x^2 + 3 \\ 7.)\: & -3x^2y – 12xy + 9y^2 \\ 8.)\: & 15x^5 – 13x^3 + 5x^2 \\ 9.)\: & -4x^3 + 6x^2 + 2x + 16 \\ 10.)\: & 0.5y^3 + 6.5y^2 – 2y + 12 \end{aligned}}} [/tex]

[tex] \Large \mathcal{SOLUTION:} [/tex]

[tex] \begin{array}{l} \footnotesize 1.)\:(5x^4 – 3x^2 + 4) + (6x^3 – 4x^2 – 7) \\ \footnotesize = 5x^4 + 6x^3 – 3x^2 – 4x^2 + 4 – 7 \\ \footnotesize = \boxed {5x^4 + 6x^3 – 7x^2 – 3} \quad \checkmark \\ \\ \footnotesize 2.)\:(-7x^3y + 4x^2y^2 – 2) + (4x^3y + 1 – 8x^2y^2) \\ \footnotesize = -7x^3y + 4x^3y + 4x^2y^2 – 8x^2y^2 – 2 + 1 \\ \footnotesize = \boxed{-3x^3y- 4x^2y^2 – 1} \quad \checkmark \\ \\ \footnotesize 3.)\: (5 + 24y^3 – 7y^2) + (-6y^3 + 7y^2 + 5) \\ = \footnotesize 24y^3 – 6y^3 – 7y^2 + 7y^2 + 5 + 5 \\ = \footnotesize \boxed {18y^3 + 10} \quad \checkmark \\ \\ \footnotesize 4.)\: (2x^5 – 6x^3 – 12x^2 – 4) + (-11x^5 + 8x + 2x^2 + 6) \\ \footnotesize = 2x^5 – 11x^5 – 6x^3 – 12x^2 + 2x^2 + 8x – 4 + 6 \\ \footnotesize = \boxed{-9x^5 – 6x^3 – 10x^2 + 8x + 2} \quad \checkmark \\ \\ \footnotesize 5.)\: (3y^5 – 2y + y^4 + 2y^3 + 5) + (2y^5 + 3y^3 + 2 + 7) \\ \footnotesize = 3y^5 + 2y^5 + y^4 + 2y^3 + 3y^3 – 2y + 5 + 2 + 7 \\ \footnotesize = \boxed {5y^5 + y^4 + 5y^3 – 2y + 14} \quad \checkmark \\ \\ \footnotesize 6.)\: (5x^3 – 7x^2 + 3x – 4) – (8x^3 + 2x^2 + 3x – 7) \\ \footnotesize = 5x^3 – 8x^3 – 7x^2 – 2x^2 + 3x – 3x – 4 + 7 \\ \footnotesize = \boxed {-3x^3 – 9x^2 + 3} \quad \checkmark \\ \\ \footnotesize 7.)\: (2x^2y – 5xy + 3y^2) – (7xy – 6y^2 + 5x^2y) \\ \footnotesize = 2x^2y – 5x^2y – 5xy – 7xy + 3y^2 + 6y^2 \\ \footnotesize = \boxed{-3x^2y – 12xy + 9y^2} \quad \checkmark \\ \\ \footnotesize 8.)\: (9x^5 -6x^3 +7x^2) – (7x^3 – 6x^5 + 2x^2) \\ \footnotesize = 9x^5 + 6x^5 – 6x^3 – 7x^3 + 7x^2 – 2x^2 \\ \footnotesize = \boxed {15x^5 – 13x^3 + 5x^2} \quad \checkmark \\ \\ \footnotesize 9.)\: (6x^2 – 3x + 8) – (4x^3 – 5x – 8) \\ \footnotesize = -4x^3 + 6x^2 – 3x + 5x + 8 + 8 \\ \footnotesize = \boxed{-4x^3 + 6x^2 + 2x + 16} \quad \checkmark \\ \\ \footnotesize 10.)\: (1.5y^3 + 4.8y^2 + 12) – (y^3 – 1.7y^2 + 2y) \\ \footnotesize = 1.5y^3 – y^3 + 4.8y^2 + 1.7y^2 – 2y + 12 \\ \footnotesize = \boxed {0.5y^3 + 6.5y^2 – 2y + 12} \quad \checkmark \end{array} [/tex]

[tex] \textsf \color{yellow} {\#CarryOnLearning} [/tex]

[tex] – \mathfrak{jonmei} [/tex]

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