Question

add (6a² - 5ab + 4b²), (-5a² +9ab − 2b²), and (-3a² + ab + 3b²). then evaluate the value of the expression for a = 1.5 and b = 0.5 SOLVE STEP BY STEP AND FAST ​

Answer 1

Answer:

$(6 {a}^{2} - 5ab + 4 {b}^{2} ) + ( - 5{a}^{2} + 9ab - 2 {b}^{2} ) + ( - 3 {a}^{2} + ab + 3 {b}^{2}) = 0.5$

Step-by-step explanation:

$(6 {a}^{2} - 5ab + 4 {b}^{2} ) + ( - 5{a}^{2} + 9ab - 2 {b}^{2} ) + ( - 3 {a}^{2} + ab + 3 {b}^{2}) \\ \\ = - 2 {a}^{2} + 5ab + 5 {b}^{2} \\ \\ = - 2 {(1.5)}^{2} + 5(1.5)(0.5) + 5 {(0.5)}^{2} \\ \\ = -2 (2.25) + 5(0.75) + 1.25 \\ \\ = - 4.50 + 3.75 + 1.25 \\ \\ = 0.5$