Simplify (x+5)^2-(2x-3)

${(x + 5)}^{2} - (2 x - 3)$

Step 1

Simplify each term.

Rewrite ${(x + 5)}^{2}$ as $(x + 5) (x + 5)$ .

$(x + 5) (x + 5) - (2 x - 3)$

Expand $(x + 5) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$x (x + 5) + 5 (x + 5) - (2 x - 3)$

Apply the distributive property.

$x \cdot x + x \cdot 5 + 5 (x + 5) - (2 x - 3)$

Apply the distributive property.

$x \cdot x + x \cdot 5 + 5 x + 5 \cdot 5 - (2 x - 3)$

$x \cdot x + x \cdot 5 + 5 x + 5 \cdot 5 - (2 x - 3)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 5 + 5 x + 5 \cdot 5 - (2 x - 3)$

Move $5$ to the left of $x$ .

$x^{2} + 5 \cdot x + 5 x + 5 \cdot 5 - (2 x - 3)$

Multiply $5$ by $5$ .

$x^{2} + 5 x + 5 x + 25 - (2 x - 3)$

$x^{2} + 5 x + 5 x + 25 - (2 x - 3)$

Add $5 x$ and $5 x$ .

$x^{2} + 10 x + 25 - (2 x - 3)$

$x^{2} + 10 x + 25 - (2 x - 3)$

Apply the distributive property.

$x^{2} + 10 x + 25 - (2 x) - - 3$

Multiply $2$ by $- 1$ .

$x^{2} + 10 x + 25 - 2 x - - 3$

Multiply $- 1$ by $- 3$ .

$x^{2} + 10 x + 25 - 2 x + 3$

$x^{2} + 10 x + 25 - 2 x + 3$

Step 2

Simplify by adding terms.

Subtract $2 x$ from $10 x$ .

$x^{2} + 8 x + 25 + 3$

Add $25$ and $3$ .

$x^{2} + 8 x + 28$

$x^{2} + 8 x + 28$

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