Step-by-step explanation:
4x + 2xy=
4×4 + 2×4×-3
= 16 + (-24)
= - 8
Answer:
4:11
Step-by-step explanation:
let's say there 15 students, 10 of them study a language. Of the 10, 4 (the 2/5) study french, so of the 15 students 4 study french, making it 4:11.
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
Answer:
the equation would be p-3$
Step-by-step explanation:
"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable

.
"Add 9 to both sides of

to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is:

.
When we plug the values:
Simplify:

"Write the trinomial

as

squared."
When you factor

, you will get

.
"Use the square root property of equality to get

."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.
"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign: