Factorize *
y² – 14 y +49
x2 + 3x - 40

The first term is, y2 its coefficient is 1 .

The middle term is, -14y its coefficient is -14 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49

Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is -14 .

-49 + -1 = -50

-7 + -7 = -14 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -7

y2 - 7y - 7y - 49

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

y • (y-7)

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

7 • (y-7)

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

(y-7) • (y-7)

Which is the desired factorization

Multiplying Exponential Expressions:

1.2 Multiply (y-7) by (y-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (y-7) and the exponents are :

1 , as (y-7) is the same number as (y-7)1

and 1 , as (y-7) is the same number as (y-7)1

The product is therefore, (y-7)(1+1) = (y-7)2

Final result :

(y - 7)2

The first term is, x2 its coefficient is 1 .

The middle term is, +3x its coefficient is 3 .

The last term, "the constant", is -40

Step-1 : Multiply the coefficient of the first term by the constant 1 • -40 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is 3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3

-5 + 8 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 8

x2 - 5x + 8x - 40

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

x • (x-5)

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

8 • (x-5)

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

(x+8) • (x-5)

Which is the desired factorization

Final result :

(x + 8) • (x - 5)

c.

worked constantly and gave many sincere speeches about the importance of independence

explanation:

hitler's  "rise" can be considered to have ended in march 1933, after the reichstag adopted the enabling act of 1933 in that month. president paul von hindenburg had already appointedhitler  as chancellor on 30 january 1933 after a series of parliamentary elections and associated backroom intrigues.