# More complex binomial products

I can find more complex binomial products.

# More complex binomial products

I can find more complex binomial products.

## Lesson details

### Key learning points

- The coefficients of the variable(s) may not be one.
- Sometimes the terms within each binomial are not in the same order.
- Multiplication and addition/subtraction with negative numbers is useful here.

### Common misconception

Mistakes with partial products are even more common where algebraic terms in the binomials have coefficients greater than 1. It is common to find pupils writing that the product of 2x and 3x is 5x

Reminding pupils that because multiplication is commutative the product of 2x and 3x can be thought of as 2 × 3 × x × x

### Keywords

Binomial - A binomial is an algebraic expression representing the sum of exactly 2 unlike terms.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

$$x \times -x$$ -

$$-x^2$$

$$-x\times -x$$ -

$$x^2$$

$$-2x \times -3x$$ -

$$6x^2$$

$$-6x \times y$$ -

$$-6xy$$

$$-3y \times -2x$$ -

$$6xy$$

$$6x\times -x$$ -

$$-6x^2$$

$$(x - 5)^2$$ -

$$x^2 - 10x + 25$$

$$(x - 4)(x - 6)$$ -

$$x^2 - 10x + 24$$

$$(x + 2)(x - 12)$$ -

$$x^2 - 10x - 24$$

$$(x + 4)(x - 6)$$ -

$$x^2 - 2x - 24$$

$$(x + 4)(x + 6)$$ -

$$x^2 + 10x + 24$$

$$(x + 12)(x - 2)$$ -

$$x^2 + 10x - 24$$

## Exit quiz

### 6 Questions

$$(x + 4)(4 -x)$$ -

$$-x^2 +16$$

$$(x - 4)(4 -x)$$ -

$$-x^2 +8x -16$$

$$(x - 4)(4 + x)$$ -

$$x^2 -16$$

$$(x - 4)(-4 +x)$$ -

$$x^2 - 8x + 16$$