Question

Subtract 6x² – 3y² + 10x – 8 from 7x² – 4xy + 8y² + 5x – 3y​

Answer 1

Answer:

On subtracting ( $6x^{2} -3y^{2} + 10x - 8$ ) from ( $7x^{2} -4xy+8y^{2} +5x -3y$ ) we get,  ( $x^{2} + 11y^{2} -5x -3y -4xy +8$ ) .

Step-by-step explanation:

To subtract : $6x^{2} -3y^{2} + 10x - 8$ from $7x^{2} -4xy+8y^{2} +5x -3y$

Solution :

• To subtract given algebraic expression, we subtract like terms together .
• Therefore, arranging given terms in correct order, we get,

       $(7x^{2} -4xy+8y^{2} + 5x-3y) - (6x^{2} -3y^{2} + 10x -8)$

• Removing parenthesis and changing sign of terms in second bracket , we subtract given expressions by performing arithmetic operations such as addition and subtraction .

      $(7x^{2} -4xy+8y^{2} + 5x-3y) - (6x^{2} -3y^{2} + 10x -8)$

       $= 7x^{2} -4xy +8y^{2}+5x -3y -6x^{2} +3y^{2} -10x +8 \\\\= 7x^{2} -6x^{2} +8y^{2} +3y^{2} +5x -10x-3y -4xy +8 \\\\= x^{2} + 11y^{2} -5x -3y -4xy +8$