If $A = 3 + 5 x + 7 x^{2}, B = - 4 - 7 x + x^{2}, C = 4 + 5 x - 8 x^{2}$
Find $A + B + C$ ?

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Solution

To add two or more algebraic expressions, group the like term of the expressions and add each group of like terms separately.
$A + B + C = (3 + 5 x + 7 x^{2}) + (- 4 - 7 x + x^{2}) + (4 + 5 x - 8 x^{2}) = (3 - 4 + 4) + (5 x - 7 x + 5 x) + (7 x^{2} + x^{2} - 8 x^{2}) (g r o u p i n g t h e l i k e t e r m s) = 3 + (10 x - 7 x) + (8 x^{2} - 8 x^{2}) = 3 + 3 x$
Hence, the required solution is $3 x + 3$

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Similar questions

x = - 3

x^{2} + 5 x + 4

(- 3)^{2} + 5 (- 3) + 4 = 9 + 2 + 4 = 15

x^{2} - 5 x + 4

(- 3)^{2} - 5 (- 3) + 4 = 9 - 15 + 4 = - 2

x^{2} + 5 x

(- 3)^{2} + 5 (- 3) = - 9 - 15 = - 24

\int (e^{7 x + 4} + (5 x - 3)^{8}) = \frac{e^{7 x} + 4}{7} + \frac{(5 x - 3)^{9}}{b}

b

A = 5 x^{2} + 3 x^{2} - 4 x + 1, B = 3 x^{3} + 5 x^{2} + 3 x - 8

C = 6 x^{3} - 4 x^{2} - 7 x + 3

(A + B) = C

Find and correct the errors in the following mathematical statement. Substituting x = −3 in

(a) x² + 5x + 4 gives (−3)² + 5 (−3) + 4 = 9 + 2 + 4 = 15

(b) x² − 5x + 4 gives (−3)² − 5 (−3) + 4 = 9 − 15 + 4 = −2

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