Answer:
The last choice is the correct one
Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)
For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)
Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)
Hope this helps :)
I had problems with the same thing when i was in middle school gotta take it step by step
Y=-3-6+78^34. mmHg gm JHVH
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Step-by-step explanation:
By Factor Theorem, (x + 3) is a factor of H(x) if and only if H(-3) = 0.
3(-3)³ - 2(-3)² + (-3)k - 3 = 0
-81 - 18 - 3k - 3 = 0
3k = -102
k = -34.
