Binomial Expansion Calculator The binomial theorem is used to expand the binomials expression to any given power without direct multiplication. Online Binomial Expansion calculator is a tool which makes calculations easy and fun. It is used to expand the binomial expression to any power. Try our Binomial Expansion calculator and get your problems solved instantly. Step by Step Calculations Step 1 : Observe the given binomial expression and exponent. Step 2 : Apply the formal expression of the binomial theorem: (a + b)n = ∑nk=0 n!(n−k)!k! an - k bk Know More About Addition and Subtraction Worksheets
Example Problems Expand: (x + 2)6 Step 1 : Given that: a = x, b = 2 and n = 6 Step 2 : (x + 2)6 = x6 + 6×2×x51! + 6×5×x4×222! + 6×5×4×x3×233! + 6×5×4×3× x2×244! + 6×5×4×3×2×x1×255! + 26 => x6 + 12x5 + 60x4 + 160x3 + 240x2 + 192x + 64 Answer : (x + 2)6 = x6 + 12x5 + 60x4 + 160x3 + 240x2 + 192x + 64 Expand: (y + 4)6 Step 1 : Given that: a = y, b = 4 and n = 6 Step 2 : (y + 4)6 = y6 + 6×4×y51! + 6×5×y4×422! + 6×5×4×y3×433! + 6×5×4×3× y2×444! + 6×5×4×3×2×y1×455! + 46 => y6 + 24y5 + 240y4 + 1280y3 + 3840y2 + 6144y + 4096 Answer : (y + 4)6 = y6 + 24y5 + 240y4 + 1280y3 + 3840y2 + 6144y + 4096 Learn More Number Line Worksheets
Geometry Calculator Geometry is an important part of mathematics. Geometry deals with shapes , points, lines etc. Geometry Calculator is a tools which we can use to find out calculations shapes, lengths etc. Geometry calculator involves the calculators like Radius Calculator, Arc Length Calculator etc. Here in this page you will get all the calculator which are coming under geometry. See the below list where all the geometry related calculators are mention. In the same way that arithmetic calculators return the value of arithmetic expressions, a geometric calculator is a program that given a geometrical operation over a number of geometrical objects, returns an object of an appropriate geometrical type as its value. Also, in the same way that composite arithmetic expression result from the combination of a number of operators with their corresponding arguments,
basic geometrical symbols and operators can be combined in the definition of composite geometrical expressions. Examples of geometrical expressions that can be evaluated by the geometric calculator in relation to this drawing are: (1) (2) (3) (4) (5) (6)
is_line(line(d0, d1)) perpendicular(l1, l2) parallel(l1, l2) intersect(l1, l2) symmetrical(triangle(d1, d3, intersect(l1, l2)), l0) di = intersect(l1, l2)
Expression (1) is a type predicate that verifies that a geometrical object is well-formed (i.e. a line must have a length); expression (2) is true and (3) false in relation to the diagram; expressions (4) and (5) are functional constructors that have as their values the dot at the intersection between lines l1 and l2 and the triangle that results from computing the axial symmetry of the triangle formed by d1, d3 and the intersection dot in relation the axis l0, as shown in Figure 2; expression (6) predicates the geometrical equality between two objects of same type, and can be true or false depending on the positions of the dots in question. Read More About Rounding Worksheets
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