Expand and simplify (x − 4)(2x + 3y)^2
following BIDMAS we start with the second expression by squaring it, i.e. (x-4)(2x + 3y)(2x + 3y). It is important we do it in the right order, otherwise we could get a wrong answer. We use the FOIL (First Outside Inside Last) method to expand(2x + 3y)(2x + 3y)=(4x^2+6xy+6xy+9y^2) which simplifies to (4x^2+12xy+9y^2)
we then take that expression and multiply by (x-4) taking care of the signs and powers, and extending our FOIL method to ensure each term in the first bracket is multiplied by each term in the second.(x-4)(4x^2+12xy+9y^2)= (4x^3 + 12x^2y + 9xy^2 - 16x^2 - 48xy - 36y^2)
EA
Related Maths GCSE answers
All answers ▸A sequence increases by 5 each time and the first term is x. The sum of the first four terms is 54. Set up and solve an equation to work out the value of x.
Simplify this algebraic fraction: 2(x+8) + 2(x+6) / x^2 - 49
What is the co-ordinates of the minimum point of the quadratic equation x^2+6x-16?
(root18 +root2)sqaured/(root8-2). Give answer in form A(B+rootC) where A,B and C are integers