Answer:
see below
Step-by-step explanation:
Question-2:
the square of x-5 given by
[tex] \displaystyle (x - 5) ^{2} [/tex]
use (a-b)²=a²-2ab+b² to simplify so we obtain:
[tex] \displaystyle {x}^{2} - 10x + 25[/tex]
hence
our answer is 2)
Question-3:
to find:
[tex]f(x) - g(x)[/tex]
substitute the value of f(x) and g(x):
[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - ( {2x}^{2} - 4x + 4)[/tex]
remove parentheses and change its sign:
[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - {2x}^{2} + 4x - 4[/tex]
combine like terms:
[tex] \rm \displaystyle{6x}^{2} + 12x - 5 - {2x}^{2} - 4[/tex]
collect like terms:
[tex] \rm \displaystyle{4x}^{2} + 12x -9[/tex]
hence,
our answer is 3)
Question-4:
given Polynomial:
[tex] \displaystyle {5x}^{3} + 2 {x}^{2} + 7[/tex]
substitute the value of x:
[tex] \displaystyle {5.(10}^{3}) + 2 ({10}^{2}) + 7[/tex]
simplify squares:
[tex] \displaystyle 5(1000) + 2 (100) + 7[/tex]
simplify multiplication:
[tex] \displaystyle 5000 + 2 00 + 7[/tex]
simplify addition:
[tex] \displaystyle 5207 [/tex]
hence our answer is 1)
Question-5:
given:
notice that,
every time there's a GCF of 4x²y
hence our answer is 4)
