(5x-3)(3x-8)
5x(3x-8)+(-3)(3x-8)
5x(3x)+(5x)(8)+(-3)(3x)+(-3)(-9)
add them up and combine like terms!
correction:
5x(3x)+(5x)(8)+(-3)(3x)+(-3)(-8)
add them up and combine like terms!
To multiply the two expressions (5x-3) and (3x-8), we can use the distributive property of multiplication over addition. This property states that for any three numbers a, b, and c:
a × (b + c) = a × b + a × c
In this case, we have:
(5x-3) × (3x-8)
Using the distributive property, we can expand it as follows:
= 5x × (3x-8) - 3 × (3x-8)
Now we can apply the distributive property to each term:
= (5x × 3x) - (5x × 8) - (3 × 3x) + (3 × 8)
Simplifying each term gives us:
= 15x^2 - 40x - 9x + 24
Combining like terms, we get:
= 15x^2 - 49x + 24
So, the product of (5x-3) and (3x-8) is 15x^2 - 49x + 24.