Question

Express (x + 9)2 as a trinomial in standard form.

Answer 1

Answer:

${x}^{2} + 18x + 81$

Step-by-step explanation:

$(x + 9) {}^{2}$

Apply foil method.

$(x + 9) {}^{2} = (x + 9)(x + 9)$

Multiply the first terms, X

$x \times x = {x}^{2}$

Multiply outer terms, 9 and x.

$x \times 9 = 9x$

Multiply inner terms,

$9 \times x = 9x$

Multiply outer terms.

$9 \times 9 = 81$

Add the inner and outer terms

$9x + 9x = 18x$

Write in standard form

${x}^{2} + 18x + 81$

Answer 2

Answer:

Step-by-step explanation: