Factorise/ Expand brackets

Question 1

Factorise 4x+16x

Answer 1

= 4x(1 + 4)

Question 2

Factorise 7x + 29x

Answer 2

7x(1+4)

Question 3

Expand 5(x+5)

Answer 3

5x+25

Question 4

Expand x(x+6)

Answer 4

X(squared) + X6

Question 5

Factorise (double brackets) x2 + 5x + 4

Normal method in case number before starting x isn’t 1

Answer 5

=x2 + 1x + 4x + 4. Product= 1 x 4= 4
=x(x+1)+4(x+1). Sum= 1 + 4= 5
=(x+1) (x+4)

Question 6

Factorise (double brackets) x2 + 5x + 4

Short method only used when number before 1st x is 1

Answer 6

x2 + 5x + 4 product= 1 x 4= 4

(X + 1) (X + 4) Sum= 1 + 4= 5