Answer:
The factorization of 2x² + 18x + 36 is (2x + 12)(x + 3). To factor this equation, use the method of factoring by grouping. Group the terms into two binomials and then factor each binomial. The first binomial is (2x + 12) and the second binomial is (x + 3). Then factor each binomial using the difference of squares formula (a² - b² = (a + b)(a - b)). For the first binomial, the a value is 2x and the b value is 12. This gives us (2x + 12) = (2x + 12)(2x - 12). For the second binomial, the a value is x and the b value is 3. This gives us (x + 3) = (x + 3)(x - 3). Multiplying the two binomials together gives us (2x + 12)(x + 3) which is the factorization of 2x² + 18x + 36.