Solving problems multiplying Polynomials

Solve problems by multiplying polynomials

​Finding areas:

Multiple Choice

Find the area of a rectangle whose height is 3xy² and width is 7xy²

• 21xy²

• 10xy²

• 21x²y⁴

• 10x²y⁴

Fill in the Blanks

Find the area of a rectangle whose dimensions are l: 3y +1 , w: 6x +5

Multiple Choice

$$\frac{3}{5}a^2+\frac{1}{3}ab-\frac{1}{2}b^2\ \ by\ \frac{3}{2}a^2+2b^2-ab$$

• $$-\frac{9}{10}a^4-\frac{1}{10}a^3b+\frac{7}{60}a^2b^2+\frac{29}{25}ab^3-b^4$$

• $$\frac{9}{10}a^4+\frac{1}{10}a^3b+\frac{7}{60}a^2b^2+\frac{29}{25}ab^3-b^4$$

• $$\frac{9}{10}a^4-\frac{1}{10}a^3b+\frac{7}{60}a^2b^2+\frac{29}{25}ab^3-b^4$$

• $$\frac{9}{10}a^4-\frac{1}{10}a^3b-\frac{7}{60}a^2b^2+\frac{29}{25}ab^3-b^4$$

Multiple Choice

$$\left(xy+xz-yz\right)\left(xy-xz+yz\right)$$

• $$x^2y^2-x^2z^2-2xyz^2+y^2z^2$$

• $$x^2y^2-x^2z+2xyz^2-y^2z^2$$

• $$x^2y^2-x^2z^2+2xyz^2-y^2z^2$$

Multiple Choice

$$-\frac{1}{4}c^{4x-2}\left(5c^{x+6}-3c^{x+4}-2c^{x-6}\right)$$

• $$\frac{5}{4}c^{5x+4}+\frac{3}{4}c^{5x+2}+\frac{1}{2}c^{5x-8}$$

• $$-\frac{5}{4}c^{5x+4}+\frac{3}{4}c^{5x+2}+\frac{1}{2}c^{5x-8}$$

• $$-\frac{5}{4}c^{5x+4}+\frac{3}{4}c^{5x+2}-\frac{1}{2}c^{3x-8}$$