Expansion, factorisation and change of subject

Question 1 of 10

Expand (3x + 5)(x − 5).

Question 2 of 10

(x + y)² = x² + y².

Question 3 of 10

Factorise 2x² + 15x + 18.

Question 4 of 10

Expand (2x − 5)(x − 5).

Question 5 of 10

Expand (x + 4)(x + 7).

Question 6 of 10

Given v² = u² + 2as, (a) make s the subject of the formula. (b) Find s when v = 24, u = 6 and a = 6. (c) Make u the subject.

Question 7 of 10

Making a variable the subject means rearranging the formula so it stands alone.

Question 8 of 10

Factorise x² + 10x + 21.

Question 9 of 10

Given v² = u² + 2as, (a) make s the subject of the formula. (b) Find s when v = 32, u = 8 and a = 3. (c) Make u the subject.

Question 10 of 10

Evaluate 5² − 5² using the difference of two squares: ___