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Multiplication using FOIL Rule

Multiply the ...

Question

Multiply the binomials: $(2.5 l - 0.5 m)$ and $(2.5 l + 0.5 m)$

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Solution

Step 1: Follow the following steps to multiply two binomials.
Apply distributive law of multiplication.
Multiply every term of one binomial with every term in the other binomial.
Look for like terms, if any, and combine them.
Step 2: Multiply $(2.5 l - 0.5 m)$ and $(2.5 l + 0.5 m)$ .
$\begin{array}{l} (2.5 l - 0.5 m) \times (2.5 l + 0.5 m) \\ = 2.5 l (2.5 l + 0.5 m) - 0.5 m (2.5 l + 0.5 m) \\ = 6.25 l^{2} + 1.25 l m - 1.25 l m - 0.25 m^{2} \\ = 6.25 l^{2} - 0.25 m^{2} \end{array}$
Hence the product of $(2.5 l - 0.5 m)$ and $(2.5 l + 0.5 m)$ is $6.25 l^{2} - 0.25 m^{2}$ .

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Multiply the binomials.

(i)(2x + 5) and(4x − 3) (ii) (y − 8) and (3y −4)

(iii)(2.5l −0.5m) and (2.5l + 0.5m)

(iv) (a + 3b)and (x + 5)

(v)(2pq + 3q²)and (3pq − 2q²)

(vi) $(\frac{3}{4} a^{2} + 3 b^{2})$ and $4 (a^{2} - \frac{2}{3} b^{2})$

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(\begin{matrix} \frac{3}{4} a^{2} + 3 b^{2} \end{matrix})

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Question 1(iii)
Multiply the binomials:
(2.5l-0.5m) and ( 2.5l+0.5m)

Q. Multiply the binomials:
(2.5l - 0.5m) and (2.5l + 0.5m)

Q. Multiply the binomials

(2.5 l - 0.5 m)

(2.5 l + 0.5 m)

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