Symplifying Algebraic Expressions: Problems with Solutions

Solution:
40 − 9x² = 40 − 9(−3)² = 40 − 9(9) = 40 − 81 = −41

Solution:
x² − 3xm − m + 4 = (2)² − 3(2)(3) − 3 + 4 = 4 − 18 − 3 + 4 = −13

Solution:
t⁴ − t³ − 4t + 18 = 2⁴ − 2³ − 4(2) + 18 = 16 − 8 − 8 + 18 = 18

Solution:
9(x − 2y) = 9[3 − 2(−2)] = 9(3 + 4) = 9(7) = 63

x² + 5

2x + 5x

x² + 5x

2x + 5

Solution:
x(x + 5) = x × x + x × 5 = x² + 5x

$-7x^2$

$x^2- 7$

$x - 7x$

$x^2 - 7x$

Solution:
$(x - 7)x = x\cdot x + (-7)\cdot x = x^2 - 7x$

$4x$

$2x$

$2xy$

$\frac{2x}{y}$

Solution:
[tex]\frac{8x^2y}{4xy} = \frac{8}{4}.\frac{x^2}{x} .\frac{y^2}{y} = 2x.1 = 2x [/tex]

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Notes: use [tex][/tex] (as in the forum if you would like to use latex).

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