Question

all factorisation
Factorize the following:
a) p4 – q4
b) 4x2 + 9y2 – 12xy
c) x2 – 11x + 30
d) y2 – 7y + 12
e) x2 + 25x + 144

Answer 1

Answer:

answer of ques.no c first x=5 and second x=6

Answer 2

Step-by-step explanation:

Question 2

(i) p⁴ - q⁴

= (p²)² - (q²)²

= (p²-q²)(p²+q²)

= [(p)²-(q)²](p²+q²)

= [(p-q)(p+q)](p²+q²)

(ii) 4x² + 9y² - 12xy

= (2x)² + (3y)² - 2(2x)(3y)

= (2x - 3y)²

(iii) x² - 11x + 30

By splitting mid-term

= x² - 6x - 5x + 30

= x(x-6) -5(x-6)

= (x-5) (x-6)

(iv) y² - 7y + 12

By splitting mid-term

= y² - 4y - 3y + 12

= y(y - 4) - 3(y - 4)

= (y - 3) (y - 4)

(v) x² + 25x + 144

By splitting mid-term

= x² + 16x + 9x + 144

= x(x+16) + 9(x+16)

= (x+9)(x+16)