Expansion and Factorization

Which of the following expressions cannot be factored?

• x² – 4x + 4
• x² – y²
• x² + 4x + 4
• x² + y²

Tags

CCSS.HSA.APR.C.4

Which of the following expressions is equivalent to x² – 4y²?

• (x + 2)(x – 2)
• (x – 2y)²
• (x + 2y)(x – 2y)
• (x + 2y)²

Tags

CCSS.HSA.APR.C.4

Factor: a² – 196

• (a + 13)(a – 13)
• (a – 13)²
• (a + 14)(a – 14)
• (a – 14)²

Expand and simplify:
(5h + 4k)²     

• 25h² + 40hk + 16k²
• 25h² + 40h + 16k²
• 25h² + 40hk - 16k²
• 25h² - 40hk + 16k²

(3pr + 7)(3pr – 7)

• 9p²r² - 49 
• 9p²r² + 49 
• 9p²r² - 42pr + 49 
• 9p²r² - 42pr - 49 

Factorise x² - 36

• (x - 6)²
• (x + 6)(x - 6)
• x² - 6²
• (x + 6)²

Factorise 2x + xy - 6 - 3y

• x (2 + y) - 3(2 + y)
• (2 + y)(x - 3)
• x (2 + y) - 3(2 - y)
• (2 + y)(x + 3)

Tags

CCSS.7.EE.A.1

(2u-4v)²

• 4u²-8uv+16v²
• 4u²-16uv+16v²
• 4u²-16v²
• 4u²+8uv+16v²

Tags

CCSS.HSA.APR.C.4

Factorise

k²-2k+1

• (k⁴+2)²

• (k²+1)²

• (k-1)²

Tags

CCSS.HSA.APR.C.4

What is the Highest Common Factor (HCF) for 9c², 6bc, 12cd?

• 3b

• 3c

• 3d

• 6c

Tags

CCSS.6.NS.B.4