Algebra Examples

$(8.3 x^{2} + 0.9 x y + 3.6) - (7.4 x^{2} - 1.7 x y + 6.4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8.3 x^{2} + 0.9 x y + 3.6 - (7.4 x^{2}) - (- 1.7 x y) - 1 \cdot 6.4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $7.4$ by $- 1$ .

$8.3 x^{2} + 0.9 x y + 3.6 - 7.4 x^{2} - (- 1.7 x y) - 1 \cdot 6.4$

Step 1.2.2

Multiply $- 1.7$ by $- 1$ .

$8.3 x^{2} + 0.9 x y + 3.6 - 7.4 x^{2} + 1.7 (x y) - 1 \cdot 6.4$

Step 1.2.3

Multiply $- 1$ by $6.4$ .

$8.3 x^{2} + 0.9 x y + 3.6 - 7.4 x^{2} + 1.7 (x y) - 6.4$

$8.3 x^{2} + 0.9 x y + 3.6 - 7.4 x^{2} + 1.7 x y - 6.4$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7.4 x^{2}$ from $8.3 x^{2}$ .

$0.9 x^{2} + 0.9 x y + 3.6 + 1.7 x y - 6.4$

Step 2.2

Add $0.9 x y$ and $1.7 x y$ .

$0.9 x^{2} + 2.6 x y + 3.6 - 6.4$

Step 2.3

Subtract $6.4$ from $3.6$ .

$0.9 x^{2} + 2.6 x y - 2.8$