What is 3(x-7)+4(x^2-2x+9) ?

The solution to 3(x-7)+4(x^2-2x+9) is 4x^2-5x+15

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simplify 3(x-7)+4(x^2-2x+9)

simplify

3 (x - 7) + 4 (x^{2} - 2 x + 9)

4 x^{2} - 5 x + 15

Solution steps

3 (x - 7) + 4 (x^{2} - 2 x + 9)

Expand

3 (x - 7) : 3 x - 21

= 3 x - 21 + 4 (x^{2} - 2 x + 9)

Expand

4 (x^{2} - 2 x + 9) : 4 x^{2} - 8 x + 36

= 3 x - 21 + 4 x^{2} - 8 x + 36

Group like terms

= 4 x^{2} + 3 x - 8 x - 21 + 36

Add similar elements:

3 x - 8 x = - 5 x

= 4 x^{2} - 5 x - 21 + 36

Add the numbers:

- 21 + 36 = 15

= 4 x^{2} - 5 x + 15

\frac{x}{y} + \frac{y}{x} + 2

(\frac{1 + r}{100})^{2}

- 169 x^{4} \cdot y^{6}

4 (a + 2) + a

d^{4} + d^{3} + d^{2}