(w+9) (w+4) find the product of the equation

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

8 0

Answer:

w^2 + 13w + 39

Step-by-step explanation:

Multiplying Polynomials (FOIL- Firsts, Outs, Inners, Lasts)

(w+9) (w+4) Multiply- Firsts (w*w) Outs (w*4) Inners (9*w) Lasts (9*4)

w*w + w*4 + 9*w + 9*4 Multiply the FOIL

w^2 + 4w + 9w + 36 Combine like terms (same variables, numbers)

w^2 + 13w + 39

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(7x²+2x+5)+(3x²-8x-10)

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First you would simplify the equation (7x²+2x+5)+(3x²-8x-10) lets start with the first part
(7x²+2x+5)
7x² + 2x which = 49x + 2x which also = 51x Then you add the last part (+5)
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Now you simplify the last part.
(3x²-8x-10)
3x²-8x which=9x - 8x which also = 1x or simply x Then add the last part (-10) Which you'll get x-10
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In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

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The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = $^{18}C_{2}$