Question

factorize tha following
a) x²-8xb+16b²-169​

Answer 1

Step-by-step explanation:

Factoring x2-8x-153

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is -153

Step-1 : Multiply the coefficient of the first term by the constant 1 • -153 = -153

Step-2 : Find two factors of -153 whose sum equals the coefficient of the middle term, which is -8 .

-153 + 1 = -152

-51 + 3 = -48

-17 + 9 = -8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -17 and 9

x2 - 17x + 9x - 153

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

x • (x-17)

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

9 • (x-17)

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

Answer 2

Answer:

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