"Question 1 Carry out the following divisions. (i) 28x^4 ÷ 56x (ii) −36y^3 ÷ 9y^2 (iii) 66pq^2r^3 ÷ 11qr^2 (iv) 34x^3y^3z^3 ÷ 51xy^2z^3 (v) 12a^8b^8 ÷ (−6a^6b^4)
Class 8 Factorisation Page 227"
Answers
Factors:
In a product of two or more expressions each expression is called a factor of the product.
Factorization:
The process of writing a given expression as a product of two or more factors is called factorization.
Division of a monomial by monomial:
To divide one monomial by another divide the numerical coefficient of the dividend by the numerical coefficient of the divisor and the powers of variables in the dividend by the corresponding powers in the divisor then multiply all the quotients.
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Solution:
1)
28x⁴÷ 56x
= (2×2×7×x×x³ )/( 2×2×2×7×x)
=x³/2
2) –36y³ ÷ 9y²
= (-2×2×3×3×y×y² ) /( 3×3×y²)
=-4y
3) 66pq²r³÷ 11qr²
= (11×6× p× q×q×r×r²)/(11× q×r²)
= 6pqr
4) 34x³y³z³ ÷ 51xy²z³
(2×17× x×x²×y×y²×z³)/(3×17× x× y²× z³)
=(2/3) x²y
5) 12a^8b^8 ÷ (– 6a^6b⁴)
=(2×6×a²×a^6×b⁴×b⁴)/(-2×3×a^6×b⁴)
=-2a²b⁴
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Hope this will help you....
Answer:
1) .x³/2
2).-4y
3).6pqr
4).(2/3)x²y
5).2a²b⁴
Step-by-step explanation:
Hope this helps you...