Find the Perfect Square Trinomial (3x+8)(x+6)

$(3 x + 8) (x + 6)$

Step 1

Expand $(3 x + 8) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$3 x (x + 6) + 8 (x + 6)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 6 + 8 (x + 6)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 6 + 8 x + 8 \cdot 6$

$3 x \cdot x + 3 x \cdot 6 + 8 x + 8 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$3 (x \cdot x) + 3 x \cdot 6 + 8 x + 8 \cdot 6$

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot 6 + 8 x + 8 \cdot 6$

$3 x^{2} + 3 x \cdot 6 + 8 x + 8 \cdot 6$

Multiply $6$ by $3$ .

$3 x^{2} + 18 x + 8 x + 8 \cdot 6$

Multiply $8$ by $6$ .

$3 x^{2} + 18 x + 8 x + 48$

$3 x^{2} + 18 x + 8 x + 48$

Add $18 x$ and $8 x$ .

$3 x^{2} + 26 x + 48$

$3 x^{2} + 26 x + 48$

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