Intro to Multiplying Rational Expressions
Read this topicExplanations 4
- (Video) Multiplying and Dividing Rational Expressions by PatrickJMT Here's another video by PatrickJMT where he works through a problem. Summary\large{\text{Summary}}Summary Mul…
By Alex Federspiel, Liza Sulkin, Amy Feraco, Anusha Rahman
- Multiply Rational Expressions Our next lesson in simplifying rational expressions is to learn tricks of multiplying. The trick is to simplify terms as much as possible before mu…
By Alex Federspiel, Liza Sulkin, Amy Feraco, Anusha Rahman
- Multiplying rational expressions Recall how we multiply fractions (without variables): 18⋅25=1⋅28⋅5=240=120\frac{1}{8}\cdot \frac{2}{5}=\frac{1\cdot 2}{8\cdot 5}=\frac{2}{40}=\f…
By Christine, Liza Sulkin, Alex Federspiel, Anusha Rahman
- Multiplying Rational Expressions In this lesson, we will learn how to multiply rational expressions. A rational expression is a fraction that has variables in it, like x2\frac{x…
By Anusha Rahman
Problems 23
- Simplify x2+11x+30x2+7x+10⋅x2−6x−16x2−4x−32\frac{x^2+11x+30}{x^2+7x+10} \cdot \frac{x^2-6x-16}{x^2-4x-32}x2+7x+10x2+11x+30⋅x2−4x−32x2−6x−16 when x>1000x > 1000x>1000.
- Simplify x2+x−42x2−x−56 ⋅x2+x−72x2+12x+27\frac{x^2+x-42}{x^2-x-56}\ \cdot \frac{x^2+x-72}{x^2+12x+27}x2−x−56x2+x−42 ⋅x2+12x+27x2+x−72 when xxx is not an integer.
- Simplify x2+17x+72x2+14x+45 ⋅x2+4x−5x2+7x−8\frac{x^2+17x+72}{x^2+14x+45}\ \cdot \frac{x^2+4x-5}{x^2+7x-8}x2+14x+45x2+17x+72 ⋅x2+7x−8x2+4x−5 when x<−100x < -100x<−100.
- Simplify x−7x2−6x−7 ⋅x2−13x+42x+1\frac{x-7}{x^2-6x-7}\ \cdot\frac{x^2-13x+42}{x+1}x2−6x−7x−7 ⋅x+1x2−13x+42 when x2−6x−7≠0x^2-6x-7\ne 0x2−6x−7=0 and x+1≠0x+1\ne 0x+1=0.
- Simplify 13x ⋅3x2+12x16\frac{1}{3x}\ \cdot \frac{3x^2+12x}{16}3x1 ⋅163x2+12x for nonzero reals xxx.
- Simplify 2x2+6x−8x2−3x−28 ⋅2x2−6x−56x2−7x+6\frac{2x^2+6x-8}{x^2-3x-28}\ \cdot \frac{2x^2-6x-56}{x^2-7x+6}x2−3x−282x2+6x−8 ⋅x2−7x+62x2−6x−56 when x2−3x−28≠0x^2-3x-28\ne0x2−3x−2…
- Simplify: x3−14x2+48xx2−13x+40 ⋅x2−2x−15x2y−3xy−18y\frac{x^3-14x^2+48x}{x^2-13x+40}\ \cdot \frac{x^2-2x-15}{x^2y-3xy-18y}x2−13x+40x3−14x2+48x ⋅x2y−3xy−18yx2−2x−15 when (x2−13x…
- Simplify 3x4⋅3x+2\frac{3x}{4} \cdot \frac{3}{x+2}43x⋅x+23
- Simplify 3x28⋅35x+7x420⋅92x3\frac{3x^2}{8}\cdot\frac{3}{5x}+\frac{7x^4}{20}\cdot\frac{9}{2x^3}83x2⋅5x3+207x4⋅2x39
- Simplify 1x⋅x3\frac1x\cdot \frac x3x1⋅3x
- Simplify 3x4⋅4x5\frac{3x}{4}\cdot \frac{4x}{5}43x⋅54x
- What is the product of ab\frac{a}{b}ba and cd\frac{c}{d}dc?
- What is the product of ax\frac{a}{x}xa and bx\frac{b}{x}xb?
- Find the product of ya\frac{y}{a}ay and yb\frac{y}{b}by.
- Find the product of xyz\frac{xy}{z}zxy and xyz\frac{x}{yz}yzx.
- What is the product of x+2x+1\frac{x+2}{x+1}x+1x+2 and x−1x−2\frac{x-1}{x-2}x−2x−1?
- Simplify x2−1y2−1⋅y+1x+1.\frac{x^2-1}{y^2-1} \cdot \frac{y+1}{x+1}.y2−1x2−1⋅x+1y+1.
- Find ab2−4(b+2a2)\dfrac{a}{b^2-4} \left(\dfrac{b+2}{a^2}\right)b2−4a(a2b+2) in simplest form.
- Find and simplify: 5ab8b2⋅18a2b15\dfrac{5ab}{8b^2} \cdot \dfrac{18a^2b}{15}8b25ab⋅1518a2b
- Find 4x25y2⋅30xy48x2y2\dfrac{4x^2}{5y^2} \cdot \dfrac{30xy}{48x^2y^2}5y24x2⋅48x2y230xy in simplest form.
- Paul bought ppp lbs of oranges, doubling his stock, and sold 13\frac{1}{3}31 of them yesterday. Kelly has 555 times more stock than Paul's original stock. She sold 49\frac{4}{9…
- Suppose Jennifer has a large project coming up wants to create 151515 times the amount of content in only two times the amount of time with the help of her two friends. Given th…
- Simplify the following expression. x4+x×8+2x3x\frac{x}{4+x}\times\frac{8+2x}{3x}4+xx×3x8+2x