What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?
(14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)
14.2a+9.8b−13.1×b+0.2a−3.7a−4.8b
(14.2a+0.2a−3.7a)+(9.8b−13.1×b−4.8b)
10.7a−8.1×b = simplest form
The Simplest form of the expression is equals to \(=\rm 10.7\times a - 8.1 \times b\)
Given : =\(\rm (14.2\cdot a + 9.8\cdot b ) - (13.1\cdot b -0.2\cdot a)- (3.7\cdot a + 4.8\cdot b)\)
On solving further we get,
\(= (14.2\times a + 9.8\times b) -(13.1\times b - 0.2\times a) - (3.7\times a + 4.8\times b)\\ = 14.2\times a+9.8\times b-13.1\times b+0.2\times a-3.7\times a-4.8\times b\\=(14.2\times a+0.2\times a-3.7\times a)+(9.8\times b-13.1\times b-4.8\times b)\\=10.7\times a- 8.1\times b \;\;\;\ \rm is\; the \;Simplest\;form \;of \;the\; given \;quation.\)
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