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Simplify (5+3i)(2-i)

Expand $(5 + 3 i) (2 - i)$ using the FOIL Method.

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Apply the distributive property.

$5 ( \dots$

Find the Constant of Variation 2y=8x

Divide each term in $2 y = 8 x$ by $2$ and simplify.

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Divide each term in $2 y = 8 x$ by …

Simplify (4x-6)(4x+6)

Expand $(4 x - 6) (4 x + 6)$ using the FOIL Method.

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Apply the distributive property.

$4 …$

Simplify -4-8i+(8+4i)

Simplify the expression.

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Remove parentheses.

$- 4 - 8 i + 8 + 4 i$

Add $- 4$ and $8$ .

$4 …$

Simplify (4-10i)-(5-7i)

Simplify each term.

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Apply the distributive property.

$4 - 10 i - 1 \cdot 5 - (- 7 i) \dots$

Verify the Identity (1-2sin(x)^2)csc(x)^2=4cos(x)^2-2

The provided equation is not an identity.

$(1 - 2 \sin^{2} (x)) \csc^{2} (x) = 4 \cos^{2 …}$

Simplify (4x-1)(2x+5)

Expand $(4 x - 1) (2 x + 5)$ using the FOIL Method.

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Apply the distributive property.

$4 …$

Simplify (-5+3i)*(1-2i)

Expand $(- 5 + 3 i) (1 - 2 i)$ using the FOIL Method.

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Apply the distributive property. …

Simplify (-5+4i)(3+i)

Expand $(- 5 + 4 i) (3 + i)$ using the FOIL Method.

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Apply the distributive property.

$- \dots$

Simplify (5x-4)(5x-4)

Expand $(5 x - 4) (5 x - 4)$ using the FOIL Method.

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Apply the distributive property.

$5 …$

Simplify (2x-5)(3x+2)

Expand $(2 x - 5) (3 x + 2)$ using the FOIL Method.

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Apply the distributive property.

$2 …$

Simplify (2x-5)(x+4)

Expand $(2 x - 5) (x + 4)$ using the FOIL Method.

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Apply the distributive property.

$2 x …$

Find the Inverse [[1,0,1],[1,1,-9],[0,1,-9]]

Set up a $3 \times 6$ matrix where the left half is the original matrix and the right half is its identity matrix.

$[\begin{array}{c} 1 & 0 … \end{array}$

Simplify (2x-6)(2x+6)

Expand $(2 x - 6) (2 x + 6)$ using the FOIL Method.

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Apply the distributive property.

$2 …$

Simplify (2x-1)(x-3)

Expand $(2 x - 1) (x - 3)$ using the FOIL Method.

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Apply the distributive property.

$2 x …$

Simplify (3a^3b^3)(4ab^2)^2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Apply the product rule …

Solve for x 9x-1=-11

Move all terms not containing $x$ to the right side of the equation.

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Add $1$ to both sides of the equation. …

Simplify (3+8i)-(-2+i)

Simplify each term.

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Apply the distributive property.

$3 + 8 i - - 2 - i$

Multiply $- 1$ by $- \dots$

Find the Inverse [[-2,3],[-3,4]]

The inverse of a $2 \times 2$ matrix can be found using the formula $\frac{1}{a d - b c} [\begin{array}{c} d & - b \\ - c & a … \end{array}$

Simplify (3xy^3)(2x^3y)

Multiply $x$ by $x^{3}$ by adding the exponents.

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Move $x^{3}$ .

$3 (x^{3} x) y^{3} ( \dots$

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