Question

simplify the expression ..(0.3x+0.2y)(0.1x+0.4)-(x+y) (0.5x-y)


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Answer 1

Step-by-step explanation:

Simplifying

x(2 + -4x) + 8 = 0

(2 * x + -4x * x) + 8 = 0

(2x + -4x2) + 8 = 0

Reorder the terms:

8 + 2x + -4x2 = 0

Solving

8 + 2x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.

2(4 + x + -2x2) = 0

Ignore the factor 2.

Subproblem 1

Answer 2

$\implies(0.3x + 0.2y)(0.1x + 0.4) - (x + y)(0.5x - y)$

$\implies0.03 {x}^{2} + 0.12x + 0.02xy + 0.08y - (0.5 {x}^{2} - xy + 0.5xy - {y}^{2} )$

$\implies0.03 {x}^{2} + 0.12x + 0.02xy + 0.08y - (0.5 {x}^{2} - 0.5xy - {y}^{2} )$

$\implies0.03 {x}^{2} + 0.12x + 0.02xy + 0.08y - 0.5 {x}^{2} + 0.5xy + {y}^{2}$

$\implies \red{ - 0.47 {x}^{2} + 0.12x + 0.52xy + 0.08y + {y}^{2} \: \: \: \: }$