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$P = 4a^2 + 12ab + 9b^2$ $Q = 4a^2 – 12ab + 9b^2$ Effectuez l’opération suivante : $P – Q$ .

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Solve equations with variables on both sides

Full solution

Q.

P = 4a^2 + 12ab + 9b^2

Q = 4a^2 – 12ab + 9b^2

Effectuez l’opération suivante :

P – Q

.

Write Expressions for P and Q: Write down the expressions for P and Q. $\newline$ P = $4a^2 + 12ab + 9b^2$ $\newline$ Q = $4a^2 - 12ab + 9b^2$
Perform Subtraction $P - Q$ : Perform the subtraction $P - Q$ . $P - Q = (4a^2 + 12ab + 9b^2) - (4a^2 - 12ab + 9b^2)$
Distribute Negative Sign: Distribute the negative sign through the expression for $Q$ . $P - Q = 4a^2 + 12ab + 9b^2 - 4a^2 + 12ab - 9b^2$
Combine Like Terms: Combine like terms. $\newline$ $P - Q = (4a^2 - 4a^2) + (12ab + 12ab) + (9b^2 - 9b^2)$ $\newline$ $P - Q = 0a^2 + 24ab + 0b^2$ $\newline$ $P - Q = 24ab$

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