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How do you factor -x square plus 10x-25 equals 0?
4x2-4x-3=0 can be written as (2x-3)(2x+1)=0 Anything times by 0 equals 0 ( the zero property of multiplication) therefore we need to make each one of these terms in brackets equal to 0. so 2x-3=0 giving x=3/2 and 2x+1=0 giving x=-1/2
When the grouping of factors is changed the product stays the same what is this called?
The commutative property of multiplication
What is the relationship between the factors in multiplication and the number of times and numbers added?
Multiplication is repeated addition. 3 x 3 = 3 added three times.
What is the rule of 5 in multiplication?
Any number ending with 0 or 5 is a multiple of 5 except 0 itself.
Why negative times negative is equal to positive?
Using the distributive property of multiplication over addition, x*[x - x] = x*[x + (-x)] = x*x + x*(-x)LHS = x*0 = 0RHS = x^2 + x*(-x)Therefore x*(-x) = -x^2 and, by commutativity, -x*x = -x^2Next-x*[x - x] = -x*[x + (-x)] = -x*x + -x*(-x)LHS = -x*0 = 0RHS = -x^2 + -x*(-x)Therefore (RHS) -x times -x = +x^2 (LHS).
