What is the answer to: factorise x^2 + 10x +16?

(x + 8)(x + 2)

Step-by-step explanation:

Given

x² + 10x + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the x- term (+ 10)

The factors are + 8 and + 2, since

8 × 2 = 16 and 8 + 2 = 10, thus

x² + 10x + 16 = (x + 8)(x + 2) ← in factored form

x=-2 and -8

Step-by-step explanation:

X^2+10x+16=0

X^2+8x+2x+16=0

X(x+8)+2(x+8)=0

(X+2)(x+8)=0

X+2=0 and x+8=0

X=-2 and x=-8

There are 2 ways to do this with elimination method. You can either multiply the first equation by 6 or the second equation by 2. I think multiplying by 2 is easier therefore that's the way I'm going to show you.

x-2y=3001️⃣

6x-y-95=0 -simplify> 6x-y=952️⃣

multiply both sides of second equation by 2 to make 2y and eliminate

2️⃣*2

12x-2y=1903️⃣

Now we can eliminate!

3️⃣-1️⃣

12x-2y-(x-2y)=190-300

11x=-110

x=-10

Now substitute this back into either of the equations.

-10-2y=300

2y=-10-300

y=-155

So we get answers

x=-10

y=-155

Now check our work:

-10- 2*-155=-10+310=300 Correct!

6*-10- -155-95=155-95-60=60-60=0 Correct!

I really hope this helped you and if you have any more question about a step in how I got the answer, you can always ask in the comments and I will come answer whenever I see it!