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Expand (a+b)(c+d). a,b,c,d are random terms that can be +ve or -ve, and can consist of a number and/or a letter.

The answer must contain no brackets but will be accepted if it is not simplified from there.

Part of HELM Book 1.3

Expand something like a(b+c) or (b+c)a or a(bc), where a, b and c can be +ve or -ve expressions. Part of HELM Book 1.3

Simplify, if possible,
(a) $\frac{2}{3}x^2 + \frac{x^2}{3}$, (b) $0.5x^2 + \frac{3}{4}x^2 - \frac{11}{2}x$, (c) $3x^3 - 11x + 3yx + 11$, and (d) $-4\alpha x^2 + \beta x^2$ where $\alpha$ and $\beta$ are constants.

The numbers and letters are all randomised.

Part of HELM Book 1.3

Compare ax-bx, and ax(bx) and simplify, where a and b are +ve or -ve integers, and x is a randomised variable. Part of HELM Book 1.3

Simplify x^2+yx+xy+y^2 to x^2 + 2xy + y^2.

There are 6 versions of this question.

Part of HELM Book 1.3

Identify that ax^2+by^2+cy+dx cannot be simplified.

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify ax^2+bx^2+cx+d to (a+b)x^2 + cx + d

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify ax^2+bx+cx+d to ax^2 + (b+c)x + d

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify ax+b+cx+dy+e to (a+c)x + dy + b+e

There are 6 versions of this question.

Part of HELM Book 1.3

Given either (a) ax+bx+cy+dy, or (b) ax^2+bx+c, (c) ax^2+bx^2+cx^2, where a,b,c,d are randomised constants, and x and y are randomised letters, simplify by collecting like terms (if possible).

Part of HELM Book 1.3