Let’s resolve into factorsa2 + ab-12b2

Q2 G of 52 Page 127

Let’s resolve into factors
a² + ab-12b²

To resolve it into factors we first resolve 12

12=1×2×2×3

Given, x² + (m + n)x + mn=(x + m)(x + n) … (2)

Comparing 1 and 2

m + n =1

mn =-12

∴ (1) can be written as

a² + 4ab-3ab + 12b²

= (a + 4b)( a-3b)

∴ The resolved factors are (a + 4b)( a-3b).

2 E

Let’s resolve into factors

x²y² + 23xy-420

2 F

Let’s resolve into factors

x⁴-7x² + 12

2 H

Let’s resolve into factors

p² + 31pq + 108q²

2 I

Let’s resolve into factors

a⁶ + 3a³b³-40b⁶