Question

y2+10y+16
$y2 + 10y + 16$
​

Answer 1

Answer:

(y + 2)(y + 8)

Step-by-step explanation:

y^2 + 10y + 16

= y^2 + 2y + 8y + 16

= y(y+2) + 8(y + 2)

= (y+2)(y+8)

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Answer 2

Step-by-step explanation:

In this question, we need to factorise the following expression:-

$\tt{y^2 + 10y + 16}$

We will apply Middle term Factorisation for this :-

$\tt{y^2 + 10y + 16}$

Step 1 :- Calculating the factor

We need to calculate the factor first :-

$\tt{ax^2 + by + c }$

• Let us consider this sample. So, we will multiply a with c.

$\tt{y^2 + 10y + 16}$

• Multiplying 1×16 = 16

Step 2 :- Breaking the Middle Term :-

We know that :-

• We will now break $\tt{by's \ b}$ into $\tt{b_1 \ and \ b_2}$ respectively.

• 8×2 = 16, and 8+2= 10,

so, we will break it in 8y + 2y

Step 3 :- Factorise :-

$\tt{y^2 + 10y + 16}$

$\tt{y^2 + 8y + 2y + 16}$

$\tt{y(y + 8) + 2(y+ 16)}$

$\tt{(y + 8) (y +2) }$ is the required solution.