What is 5(3-4x)^2-8(3-4x)(5x-1) ?

The solution to 5(3-4x)^2-8(3-4x)(5x-1) is 240x^2-272x+69

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simplify 5(3-4x)^2-8(3-4x)(5x-1)

simplify

5 (3 - 4 x)^{2} - 8 (3 - 4 x) (5 x - 1)

240 x^{2} - 272 x + 69

Solution steps

5 (3 - 4 x)^{2} - 8 (3 - 4 x) (5 x - 1)

Expand

5 (3 - 4 x)^{2} : 45 - 120 x + 80 x^{2}

= 45 - 120 x + 80 x^{2} - 8 (3 - 4 x) (5 x - 1)

Expand

- 8 (3 - 4 x) (5 x - 1) : 160 x^{2} - 152 x + 24

= 45 - 120 x + 80 x^{2} + 160 x^{2} - 152 x + 24

Add similar elements:

80 x^{2} + 160 x^{2} = 240 x^{2}

= 45 - 120 x + 240 x^{2} - 152 x + 24

Group like terms

= 240 x^{2} - 120 x - 152 x + 45 + 24

Add similar elements:

- 120 x - 152 x = - 272 x

= 240 x^{2} - 272 x + 45 + 24

Add the numbers:

45 + 24 = 69

= 240 x^{2} - 272 x + 69

x^{3} - x^{2} - x + 10

(- 2 + 5 i) - (3 - 2 i)

3 i (- 5 + 7 i)

\frac{x}{2 x}

(2^{3} x)^{2}

What is 5(3-4x)^2-8(3-4x)(5x-1) ?
The solution to 5(3-4x)^2-8(3-4x)(5x-1) is 240x^2-272x+69