Expand Algebraic Identities 1

(x - 8) ( x - 8) = ______

• x² - 64
• x² + 64
• x² - 16x + 64
• x² + 16x + 64

Expand (x−4)².

• x² −8x+16

• x² −8x−16

• x² +8x+16

• x² −16

 $\left(4a+2b\right)^2=$ 

•  $16a^2+8ab-4b^2$  

•  $16a^2-8ab-4b^2$  

•  $16a^2-8ab+4b^2$ 

•  $16a^2+8ab+4b^2$ 

 $\left(a^2+2ab\ +b^2\right)$  is the expansion of

•  $\left(a+b\right)^2$  

•  $\left(a-b\right)^2$  

•  $\left(a+b\right)^3$  

• none of these

(p - q)²

• p² + 2pq + q²

• p² + 2pq - q²

• p² - 2pq - q²

• p² - 2pq + q²

(5-p)(5-p) is of the form

•  $\left(a-b\right)\left(a+b\right)$  

•  $\left(a-b\right)^2$  

•  $\left(a+b\right)^2$  

• none of these

Expand (x−4)².

• x² −8x+16

• x² −8x−16

• x² +8x+16

• x² −16

• none of these

Answer explanation

Answer Explanation highlighting the correct choice as (3x+5y)^2

Expand (2x + 1)².

• 4x² +4x +1

• 4x² +1

• 4x² +2x +1

• 4x² +4x +2

Answer explanation

To expand (2x + 1)^2, apply the formula (a + b)^2 = a^2 + 2ab + b^2. In this case, a = 2x and b = 1, so the expansion is 4x^2 + 2(2x)(1) + 1 = 4x^2 + 4x + 1.

Expand (3x − 2)².

• 3x² − 12x − 4

• 3x² − 12x + 4

• 9x² − 12x + 4

• 9x² − 12x − 4

Answer explanation

The expansion of (3x − 2)^2 involves multiplying the expression by itself, resulting in 9x^2 − 12x + 4.