# Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1: 29

69

#### Work Step by Step

Given 3$x^{2}$ +2xy +5$y^{2}$, x=2, y=3 Step 1: Put the value of x=2 and y=3 for each x and y in the expression =3$(2)^{2}$ +2(2)(3) +5$(3)^{2}$ Step 2: Evaluate the exponential expression$(2)^{2}$ = (2)(2) = 4 $(3)^{2}$ = (3)(3) = 9 =3(4)+2(2)(3)+5(9) Step 3: Multiply 3(4) = 12, 2(2)(3) = 12, 5(9) = 45 =12+12+45 Step 4: Add and Subtract from left to right first add 12+12 24+45= 69

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