Question

Hey plz help me out i need all workings

a)x^2-4xy-12y^2 b)x^2+8x+12

Answer 1

(x - 6y)(x + 2y) and (x + 6)(x + 2)

Sorry that I can't give working! :(

Answer 2

see explanation

Explanation:

(a)

Consider the factors of the coefficient of the y² term ( - 12) which sum to give the coefficient of the xy- term (- 4)

The factors are - 6 and + 2

since - 6 × 2 = - 12 and - 6 + 2 = - 4, hence

x² - 4xy - 12y² = (x - 6y)(x + 2y)

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(b)

Consider the factors of + 12 which sum to give + 8

The factors are + 2 and + 6, hence

x² + 8x + 12 = (x + 2)(x + 6)