What is 4(2x-2)^2-(2x-5)(3x+3) ?

The solution to 4(2x-2)^2-(2x-5)(3x+3) is 10x^2-23x+31

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simplify 4(2x-2)^2-(2x-5)(3x+3)

simplify

4 (2 x - 2)^{2} - (2 x - 5) (3 x + 3)

10 x^{2} - 23 x + 31

Solution steps

4 (2 x - 2)^{2} - (2 x - 5) (3 x + 3)

Expand

4 (2 x - 2)^{2} : 16 x^{2} - 32 x + 16

= 16 x^{2} - 32 x + 16 - (2 x - 5) (3 x + 3)

Expand

- (2 x - 5) (3 x + 3) : - 6 x^{2} + 9 x + 15

= 16 x^{2} - 32 x + 16 - 6 x^{2} + 9 x + 15

Group like terms

= 16 x^{2} - 6 x^{2} - 32 x + 9 x + 16 + 15

Add similar elements:

16 x^{2} - 6 x^{2} = 10 x^{2}

= 10 x^{2} - 32 x + 9 x + 16 + 15

Add similar elements:

- 32 x + 9 x = - 23 x

= 10 x^{2} - 23 x + 16 + 15

Add the numbers:

16 + 15 = 31

= 10 x^{2} - 23 x + 31

\frac{2}{42}

3.14 \cdot 1 6^{2}

\frac{16 x ^{8} - 625 y ^{4}}{2 x ^{2} + 5 y}

\frac{7}{m} \cdot \frac{m + 7}{14}

(\frac{3}{2} y - \frac{1}{3} x) (- \frac{4}{5} x - \frac{1}{2} y)

What is 4(2x-2)^2-(2x-5)(3x+3) ?
The solution to 4(2x-2)^2-(2x-5)(3x+3) is 10x^2-23x+31