\[
(x+4)(x+3)
\]
Part 5: Perfect Squares
a) $x^{2}+6 x+9$
Part 6 Combos
a) $16 x^{2}+26 x-12$

Answer

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Answer

3) Factored form of $16x^2 + 26x - 12$: $2(8x^2 + 13x - 6)$

Steps

Step 1 ：Expand the expression $(x+4)(x+3)$ using the distributive property (FOIL method): $x^2 + 7x + 12$

Step 2 ：The expression $x^2 + 6x + 9$ is already in its simplest form: $x^2 + 6x + 9$

Step 3 ：Factor out the greatest common divisor (GCD) of the coefficients in the expression $16x^2 + 26x - 12$: $2(8x^2 + 13x - 6)$

Step 4 ：\boxed{\text{Final Answer:}}

Step 5 ：1) Expanded form of $(x+4)(x+3)$: $x^2 + 7x + 12$

Step 6 ：2) Simplified form of $x^2 + 6x + 9$: $x^2 + 6x + 9$

Step 7 ：3) Factored form of $16x^2 + 26x - 12$: $2(8x^2 + 13x - 6)$