2. What should be added to (x-4) (x+6) to get the product (x-3)(x-8)?
Answers
Answer:
So, it is clear that (-x) should be added to (x-4) (x-6) to get the product (x-3) (x-8).
Step-by-step explanation:
follow me please
Using the identity (x+a)(x+b)=x
Using the identity (x+a)(x+b)=x 2
Using the identity (x+a)(x+b)=x 2 +(a+b)x+ab,
Using the identity (x+a)(x+b)=x 2 +(a+b)x+ab, we get (x+8)(x−4)=x
Using the identity (x+a)(x+b)=x 2 +(a+b)x+ab, we get (x+8)(x−4)=x 2
Using the identity (x+a)(x+b)=x 2 +(a+b)x+ab, we get (x+8)(x−4)=x 2 +(8−4)x+8×(−4)=x
Using the identity (x+a)(x+b)=x 2 +(a+b)x+ab, we get (x+8)(x−4)=x 2 +(8−4)x+8×(−4)=x 2
Using the identity (x+a)(x+b)=x 2 +(a+b)x+ab, we get (x+8)(x−4)=x 2 +(8−4)x+8×(−4)=x 2 +4x−32.
Answer:
-13x+48
Step-by-step explanation:
(x-4) (x+6)
=x²+6x-4x-24
=x²+2x-24
and (x-3)(x-8)
=x²-8x-3x+24
=x²-11x+24
Now let x²+2x-24+ P=x²-11x+24
P=x²-11x+24-(x²+2x-24)
=x²-11x+24-x²-2x+24
=-13x+48