## RD Sharma Class 9 Solutions Chapter 4 Algebraic Identities VSAQS

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 4 Algebraic Identities VSAQS

Question 1.

Solution:

Question 2.

Solution:

Question 3.

If a + b = 7 and ab = 12, find the value of a^{2} + b^{2}.

Solution:

a + b = 7, ab = 12

Squaring both sides,

(a + b)^{2} = (7)^{2
}⇒ a^{2} + b^{2} + 2ab = 49

⇒ a^{2} + b^{2} + 2 x 12 = 49

⇒ a^{2} + b^{2} + 24 = 49

⇒ a^{2} + b^{2} = 49 – 24 = 25

∴ a^{2} + b^{2} = 25

Question 4.

If a – b = 5 and ab = 12, find the value of a^{2} + b^{2} .

Solution:

a – b = 5, ab = 12

Squaring both sides,

⇒ (a – b)^{2 } = (5)^{2
}⇒ a^{2} + b^{2} – 2ab = 25

⇒ a^{2} + b^{2} – 2 x 12 = 25

⇒ a^{2} + b^{2} – 24 = 25

⇒ a^{2} + b^{2} = 25 + 24 = 49

∴ a^{2} + b^{2} = 49

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Hope given RD Sharma Class 9 Solutions Chapter 4 Algebraic Identities VSAQS are helpful to complete your math homework.

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