Question

Which expression is equivalent to (3a +b)(2a-4b)

Answer 1

The equivalent expression is:

$(3a +b)(2a-4b) = 6a^2 -10ab -4b^2$

Solution:

Given that,

We have to find the equivalent expression

Given expression is:

$(3a +b)(2a-4b)$

Multiply each term in first parenthesis with each term in second parenthesis

$\rightarrow (3a +b)(2a-4b) = (3a \times 2a) -(3a \times 4b) + (b \times 2a) -(b \times 4b)\\\\Simplify\ the\ above\\\\\rightarrow (3a +b)(2a-4b) = 6a^2 -12ab + 2ab -4b^2\\\\Combine\ the\ like\ terms\\\\\rightarrow (3a +b)(2a-4b) = 6a^2 -10ab -4b^2$

Thus the equivalent expression is found