Chapter 5: Q. 5.4 (page 490)

Add or subtract: $(a) - 15 c^{2} + 8 c^{2} (b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3})$

Short Answer

Expert verified

The result is

$\begin{array}{l} a) - 7 c^{2} \\ b) - 10 y^{2} z^{3} \end{array}$

Step by step solution

Step 1. Given information

The given polynomials are

$(a) - 15 c^{2} + 8 c^{2} (b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3})$

We have to add or subtract the terms as applicable

Step 2. Solve part (a)

$\begin{array}{l} Wehave(a) - 15 c^{2} + 8 c^{2} . \\ Combinetheliketerms \\ \Rightarrow - 15 c^{2} + 8 c^{2} = (- 15 + 8) c^{2} \\ = 7 c^{2} \end{array}$

Step 3. Solve part (b)

$\begin{array}{l} Wehave(b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3}) . \\ \Rightarrow - 15 y^{2} z^{3} - (- 5 y^{2} z^{3}) = - 15 y^{2} z^{3} + 5 y^{2} z^{3} \\ Combinetheliketerms \\ = (- 15 + 5) y^{2} z^{3} \\ = - 10 y^{2} z^{3} \end{array}$

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Add or subtract: $(a) - 15 c^{2} + 8 c^{2} (b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve part (a)

Step 3. Solve part (b)

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Add or subtract:(a)-15c2+8c2(b)-15y2z3--5y2z3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve part (a)

Step 3. Solve part (b)

One App. One Place for Learning.

Most popular questions from this chapter

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Add or subtract: $(a) - 15 c^{2} + 8 c^{2} (b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3})$