Q3 B of 52 Page 131

Let’s resolve into factors:

x2 + 2ax + (a + b)(a-b)


x2 + 2ax + (a + b)(a-b)

=x2 + (a + b)x + (a-b)x + (a + b)(a-b)


=x(x + a + b) + (a-b)(x + a + b)


=(x + a-b)(x + a + b)


∴ the factors of x2 + 2ax + (a + b)(a-b) are (x + a-b)(x + a + b)


More from this chapter

All 52 →
2

Let’s resolve the following algebraic expressions into factors by expressing them as the difference of two squares:

3a2-2a-5


 3 A

Let’s resolve into factors:

ax2 + (a2 + 1)x + a


 3 C

Let’s resolve into factors:

ax2-(a2 + 1)x + a


 3 D

Let’s resolve into factors:

ax2 + (a2-1)x-a