all factorisation
Factorize the following:
a) p4 – q4
b) 4x2 + 9y2 – 12xy
c) x2 – 11x + 30
d) y2 – 7y + 12
e) x2 + 25x + 144
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Answer:
answer of ques.no c first x=5 and second x=6
Answered by
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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)
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