Simplify: ((x+3x)2)/(x2-y2) x ((x-y))/((x+3x))

Question

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Here's the solution to the problem. ((x+3x)²)/(x²−y²) × (x−y)/(x+3x) Step 1: Simplify the terms inside the parentheses. (x+3x)² = (4x)² = 16x²; x+3x = 4x Step 2: Substitute the simplified terms back into the expression. (16x²)/(x²−y²) × (x−y)/(4x) Step 3: Factor the denominator x²−y² using the difference of squares formula, a²−b² = (a−b)(a+b). x²−y² = (x−y)(x+y) Step 4: Substitute the factored denominator into the expression. (16x²)/((x−y)(x+y)) × (x−y)/(4x) Step 5: Multiply the fractions and cancel out common factors (x−y) and 4x. (16x² (x−y))/((x−y)(x+y) (4x)) = (16x²)/(4x(x+y)) Step 6: Simplify the remaining terms. (16x²)/(4x(x+y)) = (4x)/(x+y) The simplified expression is (4x)/(x+y).

Simplify: ((x+3x)2)/(x2-y2) x ((x-y))/((x+3x))

Answer

Step-by-step solution

Simplify the terms inside the parentheses.

Substitute the simplified terms back into the expression.

Factor the denominator $x^2-y^2$ using the difference of squares formula, $a^2-b^2 = (a-b)(a+b)$ .

Substitute the factored denominator into the expression.

Multiply the fractions and cancel out common factors $(x-y)$ and $4x$ .

Simplify the remaining terms.

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Simplify: ((x+3x)2)/(x2-y2) x ((x-y))/((x+3x))

Answer

Step-by-step solution

Simplify the terms inside the parentheses.

Substitute the simplified terms back into the expression.

Factor the denominator x2−y2x^2-y^2x2−y2 using the difference of squares formula, a2−b2=(a−b)(a+b)a^2-b^2 = (a-b)(a+b)a2−b2=(a−b)(a+b).

Substitute the factored denominator into the expression.

Multiply the fractions and cancel out common factors (x−y)(x-y)(x−y) and 4x4x4x.

Simplify the remaining terms.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Factor the denominator $x^2-y^2$ using the difference of squares formula, $a^2-b^2 = (a-b)(a+b)$ .

Multiply the fractions and cancel out common factors $(x-y)$ and $4x$ .