Chapter 5: Q. 5.5 (page 490)

$Add: (a) 8 y^{2} + 3 z^{2} - 3 y^{2} (b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} .$

Short Answer

Expert verified

The result will be

$\begin{array}{l} a) 5 y^{2} + 3 z^{2} \\ b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} \end{array}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialsare \\ (a) 8 y^{2} + 3 z^{2} - 3 y^{2} (b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} . \\ Wehavetoaddtheterms \end{array}$

Step 2. Solve part (a)

$\begin{array}{l} Wehave(a) 8 y^{2} + 3 z^{2} - 3 y^{2} . \\ Combinetheliketerms \\ \Rightarrow 8 y^{2} + 3 z^{2} - 3 y^{2} = (8 - 3) y^{2} + 3 z^{3} \\ = 5 y^{2} + 3 z^{3} \end{array}$

Step 3. Solve part (b)

$\begin{array}{l} Wehave(b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} . \\ Combinetheliketerms \\ \Rightarrow m^{2} n^{2} - 8 m^{2} + 4 n^{2} = m^{2} n^{2} - 8 m^{2} + 4 n^{2} [Therearenoliketerms] \end{array}$

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$Add: (a) 8 y^{2} + 3 z^{2} - 3 y^{2} (b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} .$

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: (a)8y2+3z2-3y2(b)m2n2-8m2+4n2.

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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$Add: (a) 8 y^{2} + 3 z^{2} - 3 y^{2} (b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} .$