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The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for...

Suppose we have two vectors U(a1,b1) and V(a2,b2). Hence, the distance between U and V will be given by the formula: d=sqrt((a1-b1)² + (a2-b2)²)

Factorise: (x-2)(x+4)(x-1)

Set equal to 0: (x-2)(x+4)(x-1) = 0

Points are (2,0) (-4,0) (1,0)

Step 1 : First we multiply both sides by 4, this is to eliminate /4 on the lhs(left hand side), and then we multiply the rhs(right hand side) by 4, this gives us (11-w) = 4(1+w) which is then equeal to 11...

This is a case of substitution. 2(3)+(7) =13