Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
Use the distributive property to expand each of the given answer choices: if you have the expression a(b + c), then this is equal to ab + ac. In other words, to expand, multiply whatever's outside the parentheses with the first term inside the parentheses, then add this result to the product of whatever's outside the parentheses and the second term in the parentheses (see attached picture).
For 5x(8 + 6), we don't need to use the distributive property because the terms inside the parentheses can be simplified.
5x(8 + 6) = 5x(14) = 14*5x = 70x.
But you could also use the distributive property and get the same answer:
5x(8 + 6) = 5x*8 + 5x*6 = 40x + 30x = 70x.
For 5(8x + 6y),
= 5*8x + 5*6y
= 40x + 30y
For 10(40x + 30y)
= 10*40x + 10*30y
= 400x + 300y
For 10(4x + 3y)
= 10*4x + 10*3y
= 40x + 30y
For 2y(20x + 15)
= 2y*20x + 2y*15
= 40xy + 30y
For 2(20x + 15y)
= 2*20x + 2*15y
= 40x + 30y
Hence, the expressions that yield 40x + 30y are:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
