Find each product. (x+7y)(3x-5y)

Write each number in scientific notation. 0.0083

In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. (2−6/(x+1))(1 + 3/(x−2))

In Exercises 85–96, simplify each algebraic expression. 5(3x+4)−4

Write each number in scientific notation. −0.00000000405

Evaluate each expression without using a calculator. 27^1/3

Perform the indicated operation or operations. (3x+5)(2x−9)−(7x−2)(x−1)

In Exercises 65–92, factor completely, or state that the polynomial is prime. x²−10x+25−36y²

Find each product. (7x+4y)(7x-4y)

Find each product. $(a-b)(a^2+ab+b^2)$

In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. $\frac{y^{-1} - (y + 2)^{-1}}{2}$

In Exercises 85–96, simplify each algebraic expression. 2(5x−1)+14x

In Exercises 83–90, perform the indicated operation or operations. (2x−7)⁵/(2x−7)³

In Exercises 65–92, factor completely, or state that the polynomial is prime. x²y−16y+32−2x²

Factor completely, or state that the polynomial is prime. $15x^3+3x^2$

Evaluate each expression without using a calculator. 16^-6/2

Factor completely, or state that the polynomial is prime. $x^2-11x+28$

In Exercises 85–96, simplify each algebraic expression. 5(3y−2)−(7y+2)

In Exercises 65–92, factor completely, or state that the polynomial is prime. 2x³−8a²x+24x²+72x

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $(6.1\times {10}^{-8})(2\times {10}^{-4})$

Factor completely, or state that the polynomial is prime. 64-x^2

In Exercises 85–96, simplify each algebraic expression. 7−4[3−(4y−5)]

Simplify using properties of exponents. $\frac{20x^{\frac{1}{2}}}{5x^{\frac{1}{4}}}$

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $(4.3\times {10}^8)(6.2\times {10}^4)$

In Exercises 93–102, factor and simplify each algebraic expression. x^3/4−x^1/4

Simplify using properties of exponents.$(x^{\frac{2}{3}}{)}^3$

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $(8.4\times {10}^8)/(4\times {10}^5)$

In Exercises 85–96, simplify each algebraic expression. 18x^2+4−[6(x^2−2)+5]

Factor completely, or state that the polynomial is prime. 16x^2-40x+25

In Exercises 91–100, simplify using properties of exponents. (25x⁴y⁶)^1/2