Ex.9.3 Q2 Algebraic Expressions and Identities - NCERT Maths Class 8
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Question
Complete the table
--- |
First expression |
Second Expression |
Product |
(i) |
\(a\) |
\(b + c + d\) |
--- |
(ii) |
\(x + y - 5\) |
\(5xy\) |
--- |
(iii) |
\(p\) |
\(6{p^2} - 7p + 5\) |
--- |
(iv) |
\(4{p^2}{q^2}\) |
\({p^2} - {q^2}\) |
--- |
(v) |
\(a + b + c\) |
\(abc\) |
--- |
Text Solution
What is known?
Expressions
What is unknown?
Product
Steps:
The table can be completed as follows.
--- |
First expression |
Second Expression |
Product |
(i) |
\(a\) |
\(b + c + d\) |
\(ab + ac + ad\) |
(ii) |
\(x + y - 5\) |
\(5xy\) |
\(5{x^2}y + 5x{y^2} - 25xy\) |
(iii) |
\(p\) |
\(6{p^2} - 7p + 5\) |
\(6{p^3} - 7{p^2} + 5p\) |
(iv) |
\(4{p^2}{q^2}\) |
\({p^2} - {q^2}\) |
\(4{p^4}{q^2} - 4{p^2}{q^4}\) |
(v) |
\(a + b + c\) |
\(abc\) |
\({a^2}bc + a{b^2}c + ab{c^2}\) |