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

The solution to (5y^2+xy-4x^2)-(4y^2-3x^2-6xy) is y^2-x^2+7xy

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

simplify

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

y^{2} - x^{2} + 7 x y

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

5 y^{2} - 4 y^{2} = y^{2}

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

Add similar elements:

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

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

Add similar elements:

x y + 6 x y = 7 x y

= y^{2} - x^{2} + 7 x y

a^{4} - 7 a^{2} + 1

5 x^{2} - 25 x y

\frac{( x ^{2} + y ^{2} - z ^{2} )}{( x ^{2} + y ^{2} + z ^{2} )}

(a + b)^{14}

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

What is (5y^2+xy-4x^2)-(4y^2-3x^2-6xy) ?
The solution to (5y^2+xy-4x^2)-(4y^2-3x^2-6xy) is y^2-x^2+7xy