Question

Multiply the expressions below. Then simplify if possible. a. 2x(3x – 4) b. (x+3)(2x-5) C. (2x + 5)(2x – 5) d. X(2x + 1)(x-3)​

Answer 1

Answer:

a) 6x² - 8x

b) 2x² + x - 15

c) 4x² - 25

d) 2x³ + 7x² - 3x

Step-by-step explanation:

a) 2x (3x - 4)

brackets means multiplication or into

base on the question

2x * 3x = 6x^2

and

2x * (-4) = -8x

therefore

6x² - 8x

is the answer

b) (x + 3) (2x - 5)

clear brackets with (x + 3)

i. x * (2x - 5) = 2x^2 - 5x

ii. +3 * (2x - 5) = 6x - 15

add i add ii

2x² - 5x + 6x - 15

if u noticed, there are similar figures 6x and 5x, so we take like term

2x² + x - 15 answer

c) (2x + 5) (2x - 5)

clear bracket

i. 2x * (2x - 5) = 4x² - 10x

ii. 5 * (2x - 5) = 10x - 25

add i and ii

4x² - 10x + 10x - 25

collect terms

4x² - 25 answer

d) x (2x + 1) (x - 3)

I) first we deal with x(2x+1)

x * (2x + 1) = (2x² + x)

II) then we find the multiplication of

(2x² + x) (x - 3)

i. 2x² * (x - 3) = 2x³ - 6x²

ii. x * (x - 3) = x² - 3x

add i and ii

2x³ - 6x² + x² - 3x

collect terms

2x³ - 5x² - 3x