(2a + 5b) (3b + 4a) - (7a + 3b) (2a + b)
Answers
Answer:
this is the answer
Answer:
Therefore, (2a+5b)(3b+4a) - (7a+3b)(2a+b) = -6a²+12b²+13ab.
Step-by-step explanation:
Given that (2a +5b)(3b +4a) - (7a +3b)(2a + b)
We have to simplify the above equation
Take (2a +5b)(3b +4a) = 2a(3b+4a)+5b(3b+4a)
= 6ab+8a²+15b²+20ab
(2a+5b)(3b+4a) = 8a²+15b²+26ab -----------(1)
(7a+3b)(2a+b) = 7a(2a+b)+3b(2a+b)
= 14a²+7ab+6ab+3b²
= 14a²+3b²+13ab
(7a+3b)(2a+b) = 14a²+3b²+13ab ------------(2)
Subtracting equation(2) from equation(1)
(8a²+15b²+26ab) - (14a²+3b²+13ab) = 8a²+15b²+26ab-14a²-3b²-13ab
= -6a²+12b²+13ab
Therefore, (2a+5b)(3b+4a) - (7a+3b)(2a+b) = -6a²+12b²+13ab.