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

The solution to 4x^2-7x(2x-4)+3x^2-7x+3 is -7x^2+21x+3

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

simplify

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

- 7 x^{2} + 21 x + 3

Solution steps

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

Group like terms

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

Add similar elements:

4 x^{2} + 3 x^{2} = 7 x^{2}

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

Expand

- 7 x (2 x - 4) : - 14 x^{2} + 28 x

= 7 x^{2} - 14 x^{2} + 28 x - 7 x + 3

Add similar elements:

7 x^{2} - 14 x^{2} = - 7 x^{2}

= - 7 x^{2} + 28 x - 7 x + 3

Add similar elements:

28 x - 7 x = 21 x

= - 7 x^{2} + 21 x + 3

x^{4} + 5 x^{2}

\frac{- 1}{2} - 2

\frac{20}{3} + 1

- (- 9.9 m - 3)

5 y^{0}

What is 4x^2-7x(2x-4)+3x^2-7x+3 ?
The solution to 4x^2-7x(2x-4)+3x^2-7x+3 is -7x^2+21x+3