Question

factorise
x square+8x+16

Answer 1

Here is your answer
$x { }^{2} + 8x + 16 \\ x {}^{2} + 2 \times x \times 4 + 4 {}^{2} \\ (x + 4) {}^{2}$
Hope it helps you

Answer 2

Factors of $\bf {x}^{2} + 8x + 16$

are $\bf (x + 4)(x + 4)$ or $\bf (x + 4)^2$

Given:

• ${x}^{2} + 8x + 16$

To find:

• Factorise the polynomial

Solution:

The standard quadratic polynomial is written as

$\bf a {x}^{2} + bx + c$

where a≠0

Factors/split the b like that, multiplication of factors is equal to ac, and Sum\difference is equal to b.

Step 1:

Write coefficients of x², x and constant term.

a= 1

b=8

c=16

Step 2:

Split the middle term 8 as multiplication result to ac, ie 1(16)=16

So,

4+4=8

4(4)=16

Step 3:

Split the middle term as shown

${x}^{2} + 8x + 16$

or

${x}^{2} + 4x+4x + 16$

or

${x}(x + 4)+4(x + 4)$

or

$(x + 4)(x + 4)$

Thus,

Factors of ${x}^{2} + 8x + 16$ are $\bf (x + 4)(x + 4)$

Learn more:

1) 2√2x^2+9x+5√2 by splitting the middle term factor

https://brainly.in/question/10356499

2) 6x^2-13x+6 solve the factories questions

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