Q50. Evaluate the expression c2b2+b2a... [FREE SOLUTION]

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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q50. (page 13)

Evaluate the expression $\frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}}$ if $a = 8, 鈥夆赌� b = 4, c = 16$ .

Short Answer

Expert verified

The value of the expression of $\frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}}$ is $16 \frac{1}{4}$ .

Step by step solution

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

Step 2. Example of applying BODMAS rule.

The expression $5 b 鈭� \frac{2 a}{c}$ where $a = 3, 鈥夆赌� b = 4, 鈥� c = 2$ can be written as

$\begin{array}{l} 5 b 鈭� \frac{2 a}{c} = 5 (4) 鈭� \frac{2 (3)}{2} \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€� = (5 脳 4) 鈭� \frac{(2 脳 3)}{2} \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€� = 20 鈭� 3 \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€� = 17 \end{array}$

Step 3. DESCRIPTION OF STEP.

Substituting $a = 8, b = 4 andc = 16$ in $\frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}}$

$\begin{array}{l} \frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}} = \frac{16^{2}}{4^{2}} + \frac{4^{2}}{8^{2}} \\ {Evaluatethepowers16}^{2} & 4^{2} innumerator \\ \frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}} = \frac{256}{4^{2}} + \frac{16}{8^{2}} \\ {Evaluatethepowers4}^{2} & 8^{2} indenominator \\ \frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}} = \frac{256}{16} + \frac{16}{64} \\ onsimplifying \\ \frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}} = 16 + \frac{1}{4} \\ \frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}} = 16 \frac{1}{4} \end{array}$

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91影视

Evaluate the expression $\frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}}$ if $a = 8, 鈥夆赌� b = 4, c = 16$ .

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

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91影视

Evaluate the expression c2b2+b2a2if a=8,鈥夆赌�b=4,c=16.

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Geometry

Probability and Statistics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression $\frac{c^{2}}{b^{2}} + \frac{b^{2}}{a^{2}}$ if $a = 8, 鈥夆赌� b = 4, c = 16$ .