What is (-4x^4+6x^2+3)-(5x^2-3) ?

The solution to (-4x^4+6x^2+3)-(5x^2-3) is -4x^4+x^2+6

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simplify (-4x^4+6x^2+3)-(5x^2-3)

simplify

(- 4 x^{4} + 6 x^{2} + 3) - (5 x^{2} - 3)

- 4 x^{4} + x^{2} + 6

Solution steps

(- 4 x^{4} + 6 x^{2} + 3) - (5 x^{2} - 3)

Apply rule:

(a) = a

(- 4 x^{4} + 6 x^{2} + 3) = - 4 x^{4} + 6 x^{2} + 3

= - 4 x^{4} + 6 x^{2} + 3 - (5 x^{2} - 3)

Apply the distributive law:

- (a - b) = - a + b

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

= - 4 x^{4} + 6 x^{2} + 3 - 5 x^{2} + 3

Group like terms

= - 4 x^{4} + 6 x^{2} - 5 x^{2} + 3 + 3

Add similar elements:

6 x^{2} - 5 x^{2} = x^{2}

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

Add the numbers:

3 + 3 = 6

= - 4 x^{4} + x^{2} + 6

a \times a

1 2^{5}

(p - 5 r) (p - 5 r)

(3 c + 2) (c^{2} - 6 c - 4)

2 lo g_{6} (3) + lo g_{6} (4)

What is (-4x^4+6x^2+3)-(5x^2-3) ?
The solution to (-4x^4+6x^2+3)-(5x^2-3) is -4x^4+x^2+6