Louise completed the work shown below (5x3+3)2=(5x3)2+(3)2=25x6+9, determine if louise answer is correct . explain

sample response: louise’s answer is not correct. she is missing the term 30x3. when squaring a binomial, it is best to write the product of the binomial times itself. then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

step-by-step explanation:

y=mx+b

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12