Factorization Class 8

Factorise the expression 5(x - 2) - y(2 - x)

• (x+2)(y−5)

• (x−2)(y−5)

• (x−2)(5+y)

• (x+2)(y+5)

(a+b)(a-b) 

The set of prime numbers which when multiplied by together give the actual number is called

(a)  

Factorize x² + 6x – 16 to the lowest form

(a)  

Find the common factors of: 25x²y, 30xy² (Write in grouped format, example, if the factors are a and b, write it as ab)

(a)  

Factorise the following: p²q – pr² – pq + r²

(a)  

Answer explanation

Solution: p²q – pr² – pq + r² = (p²q – pq) + (-pr² + r2) = pq(p – 1) – r²(p – 1) = (p – 1) (pq – r²)

Factorise the following expression: x² + 4x + 8y + 4xy + 4y²

(a)  

Answer explanation

x² + 4x + 8y + 4xy + 4y²= (x² + 4xy + 4y²) + (4x + 8y)= (x + 2y)² + 4(x + 2y)= (x + 2y)(x + 2y + 4)

Factorise: (x + y)² – 4xy – 9z²

(a)  

Answer explanation

(x + y)² – 4xy – 9z²= x² + 2xy + y² – 4xy – 9z²= (x² – 2xy + y²) – 9z²= (x – y)² – (3z)²

If one of the factors of (5x² + 70x – 160) is (x – 2). Find the other factor.

• Risk this button? Might be wrong or right...

• 5(x+12)

• 5(x-12)

• 5(x+16)

• 5(x-16)

Answer explanation

No shortcuts to math!