Multiplying Polynomials......

Question

Do you have a question? Use the general rule
(a + b)(c + d) = ac + ad + bc + bd
Form all possible products of terms in the two polynomials, and add them

Answer 1

Find the product
(2x)(10x)

Answer 2

The product of (2x)(10x) is:

(2x)(10x) = 20x^2

Answer 3

-3m(m + 8)

Answer 4

-3m(m + 8) can be simplified using the distributive property:

-3m(m + 8) = -3m * m - 3m * 8

= -3m^2 - 24m

So, the simplified form of -3m(m + 8) is -3m^2 - 24m.

Answer 5

4d(2d - 9)

Answer 6

To solve, use the distributive property:

4d(2d - 9) = (4d * 2d) - (4d * 9)

= 8d^2 - 36d

So, the simplified form of 4d(2d - 9) is 8d^2 - 36d.

Answer 7

(3x + 4)(x -2)

Answer 8

To solve, use the distributive property:

(3x + 4)(x - 2) = 3x * x - 3x * 2 + 4 * x - 4 * 2

= 3x^2 - 6x + 4x - 8

= 3x^2 - 2x - 8

So, the simplified form of (3x + 4)(x - 2) is 3x^2 - 2x - 8.

Answer 9

(2y - 1)(4y - 3)

Answer 10

To solve, use the distributive property:

(2y - 1)(4y - 3) = 2y * 4y - 2y * 3 - 1 * 4y + 1 * 3

= 8y^2 - 6y - 4y + 3

= 8y^2 - 10y + 3

So, the simplified form of (2y - 1)(4y - 3) is 8y^2 - 10y + 3.