Question

What goes in the blanks? (a2 +___+1)−(___+5a+___)=4a2 −2a+7

Answer 1

Answer:

4a2 + 4a + 1 = (2a +1)^2 = (2a + 1)(2a + 1)

4 − 4a + a2  = (2 - a)^2 = (2 − a)(2 − a)

4a2 − 4a + 1 = (2a -1)^2 = (2a − 1)(2a − 1)

4 + 4a + a2 = (2 + a)^2 = (2 + a)(2 + a)

Step-by-step explanation:

Answer 2

Answer:

• 3a, -3a², - 6

Step-by-step explanation:

The left side of the equation:

• a² - 5a + 1

The right side:

• 4a² - 2a + 7

The difference:

• - 3a² + 3a - 6

The equation is:

• (a² + 3a + 1) - (-3a² + 5a - 6) = 4a² - 2a + 7

The blanks:

• 3a, -3a², - 6