The expression (3x+4) (2x-6) is equavalent to?
3x(2x-6)+4(2x-6)
multipy out brackets to give:
6x^2 - 18x + 8x - 24
collect like terms to get:
6x^2 - 10x - 24
To simplify the expression (3x + 4)(2x - 6), you can use the distributive property. The distributive property states that multiplying a sum or difference by a number is the same as multiplying each term individually and then adding or subtracting the products.
So, in this case, you need to multiply each term in the first bracket (3x and 4) by each term in the second bracket (2x and -6), and then combine like terms.
1. Start by multiplying the first term in the first bracket (3x) by each term in the second bracket (2x and -6). This gives you: 3x * 2x = 6x^2 and 3x * -6 = -18x.
2. Next, multiply the second term in the first bracket (4) by each term in the second bracket (2x and -6). This gives you: 4 * 2x = 8x and 4 * -6 = -24.
3. Now, you have the following terms: 6x^2, -18x, 8x, and -24.
4. Combine like terms, which means adding or subtracting terms that have the same variable and exponent. In this case, you have -18x and 8x, which can be combined to get -10x. So, the simplified expression is: 6x^2 - 10x - 24.
Therefore, the expression (3x + 4)(2x - 6) is equivalent to 6x^2 - 10x - 24.