Chapter 5: Q. 5.8 (page 491)

$Find the sum: (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5)$

Short Answer

Expert verified

The sum of the polynomials is $17 y^{2} + 14 y + 1$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialexpressionis \\ (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5) \\ Wehavetofindthesum. \end{array}$

Step 2. Identify the like terms and rewrite the expression

$\begin{array}{l} Wehave (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5) \\ Rewritewithouttheparentheses,rearrangingtogettheliketermstogether \\ \Rightarrow (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5) = \underline{14 y^{2}} + \underline{\underline{6 y}} - 4 + \underline{3 y^{2}} + \underline{\underline{8 y}} + 5 \\ = 14 y^{2} + 3 y^{2} + 6 y + 8 y - 4 + 5 \\ = (14 + 3) y^{2} + (6 + 8) y + 1 \\ = 17 y^{2} + 14 y + 1 \end{array}$

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$Find the sum: (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the like terms and rewrite the expression

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Find the sum:14y2+6y-4+3y2+8y+5

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the like terms and rewrite the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

$Find the sum: (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5)$