Question

Subtract: (In horizontal and in vertical arrangement).

(4) (7x² − 5z² + 11y²) − (3y² −4x² + 2z²)

Answer 1

Horizontal arrangement:
(7x² − 5z² + 11y²) − (3y² − 4x² + 2z²)
= 7x² − 5z² + 11y² − 3y² + 4x² − 2z²

Combining the like terms, we get:
7x² + 4x² + 11y² − 3y² − 5z² − 2z²
= 11x² + 8y² − 7z²

Vertical arrangement:
Writing the like terms one below the other, we get:
$\begin{array}{cccccc}& 7x^2& -& 5z^2& +& 11y^2\\ -& (-4x^2& +& 2z^2& +& 3y^2)\end{array}$

Now, we have:
$\begin{array}{cccccc}& 7x^2& -& 5z^2& +& 11y^2\\ +& 4x^2& -& 2z^2& -& 3y^2\\ & 11x^2& -& 7z^2& +& 8y^2\end{array}$