Question

Shyam wants to color both the sides of a square shaped paper for his project work. The
6.
side of paper is (2x-3x) cm. How much of area, he has to color?
(A) (8x2 + 24x + 18)cm
(B) (8x2 - 18) cm
(C) (4x2 – 12x + 9) cm ?
(D) (8x2 – 24x + 18)cm?​

Answer 1

Answer:

answerc.is the write answer

Answer 2

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sᴛᴇᴘ 1

:

Equation at the end of step 1

(23x2 + 24x) + 18 = 0

STEP 2

:

STEP 3

:

Pulling out like terms

3.1 Pull out like factors :

8x2 + 24x + 18 = 2 • (4x2 + 12x + 9)

Trying to factor by splitting the middle term

3.2 Factoring 4x2 + 12x + 9

The first term is, 4x2 its coefficient is 4 .

The middle term is, +12x its coefficient is 12 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36

Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .

-36 + -1 = -37

-18 + -2 = -20

-12 + -3 = -15

-9 + -4 = -13

-6 + -6 = -12

-4 + -9 = -13

-3 + -12 = -15

-2 + -18 = -20

-1 + -36 = -37

1 + 36 = 37

2 + 18 = 20

3 + 12 = 15

4 + 9 = 13

6 + 6 = 12 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 6 and 6

4x2 + 6x + 6x + 9

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x+3)

Add up the last 2 terms, pulling out common factors :

3 • (2x+3)

Step-5 : Add up the four terms of step 4 :

(2x+3) • (2x+3)

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